Higson, Nigel 1963
Overview
Works:  28 works in 66 publications in 3 languages and 873 library holdings 

Genres:  Conference papers and proceedings Academic theses 
Roles:  Author, Thesis advisor, Editor, 958, Opponent 
Publication Timeline
.
Most widely held works by
Nigel Higson
Equivariant Etheory for C*algebras by
Erik Guentner(
Book
)
11 editions published in 2000 in English and held by 264 WorldCat member libraries worldwide
Let A and B be C*algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant Etheory groups E G(A, B) which generalize the Etheory groups of Connes and Higson. We develop the basic properties of equivariant Etheory, including a composition product and sixterm exact sequences in both variables, and apply our theory to the problem of calculating Ktheory for group C*algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in recent work of Higson and Kasparov on the BaumConnes conjecture for groups which act isometrically and metrically properly on Hilbert space
11 editions published in 2000 in English and held by 264 WorldCat member libraries worldwide
Let A and B be C*algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant Etheory groups E G(A, B) which generalize the Etheory groups of Connes and Higson. We develop the basic properties of equivariant Etheory, including a composition product and sixterm exact sequences in both variables, and apply our theory to the problem of calculating Ktheory for group C*algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in recent work of Higson and Kasparov on the BaumConnes conjecture for groups which act isometrically and metrically properly on Hilbert space
Analytic Khomology by
Nigel Higson(
Book
)
11 editions published between 2000 and 2004 in English and Spanish and held by 257 WorldCat member libraries worldwide
11 editions published between 2000 and 2004 in English and Spanish and held by 257 WorldCat member libraries worldwide
Surveys in noncommutative geometry : proceedings from the Clay Mathematics Institute Instructional Symposium, held in conjunction
with the AMSIMSSIAM Joint Summer Research Conference on Noncommutative Geometry, June 1829, 2000, Mount Holyoke College,
South Hadley, MA by AMSIMSSIAM Joint Summer Research Conference and Clay Mathematics Institute Instructional Symposium on Noncommutative Geometry(
Book
)
9 editions published in 2006 in English and held by 160 WorldCat member libraries worldwide
9 editions published in 2006 in English and held by 160 WorldCat member libraries worldwide
Risk management : health and safety in primary care by
Nigel Higson(
Book
)
4 editions published in 1996 in English and held by 58 WorldCat member libraries worldwide
This book is written by a practising primary care practitioner. It encompasses all the current laws and recommendations concerning health and safety at work, including discussion of controlling substances hazardous to health (COSHH) as well as looking at appropriate training of staff employed in primary care. Where appropriate, each section includes a detailed policy on the management of the risks under discussion, which can be adapted for use in individual practices. Risk Management: health and safety in primary care should be an essential purchase for all medical and allied health practitioners, as well as practitioners of complementary therapies. Every practice involved with primary care should have a copy of this book on the shelf
4 editions published in 1996 in English and held by 58 WorldCat member libraries worldwide
This book is written by a practising primary care practitioner. It encompasses all the current laws and recommendations concerning health and safety at work, including discussion of controlling substances hazardous to health (COSHH) as well as looking at appropriate training of staff employed in primary care. Where appropriate, each section includes a detailed policy on the management of the risks under discussion, which can be adapted for use in individual practices. Risk Management: health and safety in primary care should be an essential purchase for all medical and allied health practitioners, as well as practitioners of complementary therapies. Every practice involved with primary care should have a copy of this book on the shelf
Common paediatric emergencies : a guide for the GP and casualty officer by
R. C Groggins(
Book
)
3 editions published in 1985 in English and Undetermined and held by 52 WorldCat member libraries worldwide
3 editions published in 1985 in English and Undetermined and held by 52 WorldCat member libraries worldwide
Directory of British postgraduate medical qualifications by
Nigel Higson(
Book
)
2 editions published in 1987 in Undetermined and English and held by 41 WorldCat member libraries worldwide
2 editions published in 1987 in Undetermined and English and held by 41 WorldCat member libraries worldwide
Noncommutative geometry : lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 39, 2000 by
Alain Connes(
)
2 editions published in 2004 in English and held by 9 WorldCat member libraries worldwide
Noncommutative Geometry is one of the most deep and vital research subjects of presentday Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, KTheory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists
2 editions published in 2004 in English and held by 9 WorldCat member libraries worldwide
Noncommutative Geometry is one of the most deep and vital research subjects of presentday Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, KTheory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists
Algebraic Ktheory of stable C*algebras by
Nigel Higson(
Book
)
4 editions published between 1985 and 1987 in English and Undetermined and held by 5 WorldCat member libraries worldwide
4 editions published between 1985 and 1987 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Local index theorem in noncommutative geometry by Uuye Otgonbayar(
)
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
Equivariant Etheory for C*algebras by
Erik Guentner(
Book
)
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
Equivariant Etheory for C*algebras(
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
The Mackey analogy for SL(n, R) by Christopher Yousuf George(
Book
)
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Statistical properties of unimodal maps by
Artur Avila(
Book
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
On the HigsonMackey analogy, group C plus[superscript]algebras, and theory by John R Skukalek(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
ADJOINT FUNCTORS BETWEEN CATEGORIES OF HILBERT $C^{\ast }$MODULES(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract : Let $E$ be a (right) Hilbert module over a $C^{\ast }$ algebra $A$ . If $E$ is equipped with a left action of a second $C^{\ast }$ algebra $B$, then tensor product with $E$ gives rise to a functor from the category of Hilbert $B$ modules to the category of Hilbert $A$ modules. The purpose of this paper is to study adjunctions between functors of this sort. We shall introduce a new kind of adjunction relation, called a local adjunction, that is weaker than the standard concept from category theory. We shall give several examples, the most important of which is the functor of parabolic induction in the tempered representation theory of real reductive groups. Each local adjunction gives rise to an ordinary adjunction of functors between categories of Hilbert space representations. In this way we shall show that the parabolic induction functor has a simultaneous left and right adjoint, namely the parabolic restriction functor constructed in Clare etal. [Parabolic induction and restriction via $C^{\ast }$ algebras and Hilbert $C^{\ast }$ modules, Compos. Math. FirstView (2016), 1–33, 2]
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract : Let $E$ be a (right) Hilbert module over a $C^{\ast }$ algebra $A$ . If $E$ is equipped with a left action of a second $C^{\ast }$ algebra $B$, then tensor product with $E$ gives rise to a functor from the category of Hilbert $B$ modules to the category of Hilbert $A$ modules. The purpose of this paper is to study adjunctions between functors of this sort. We shall introduce a new kind of adjunction relation, called a local adjunction, that is weaker than the standard concept from category theory. We shall give several examples, the most important of which is the functor of parabolic induction in the tempered representation theory of real reductive groups. Each local adjunction gives rise to an ordinary adjunction of functors between categories of Hilbert space representations. In this way we shall show that the parabolic induction functor has a simultaneous left and right adjoint, namely the parabolic restriction functor constructed in Clare etal. [Parabolic induction and restriction via $C^{\ast }$ algebras and Hilbert $C^{\ast }$ modules, Compos. Math. FirstView (2016), 1–33, 2]
Quantization of Coadjoint Orbits via Positivity of Kirillov's Character Formula by Ehssan Khanmohammadi(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Kirillov proved his character formula for simply connected nilpotent Lie groups in 1962 and conjectured its universality. The validity of this conjecture has been verified for some other classes of Lie groups, most notably for the case of tempered representations of reductive Lie groups by Rossmann.In this dissertation we explain how Kirillov's character formula can be used in the quantization of coadjoint orbits. First we prove a positivity property of Kirillov's character formula for some classes of Lie groups, including nilpotent Lie groups, which possess real polarizing subgroups. Then we use this positivity property to construct group representations following the ideas of Gelfand, Naimark, and Segal. Finally we discuss several approaches to proving positivity in the absence of real polarizations
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Kirillov proved his character formula for simply connected nilpotent Lie groups in 1962 and conjectured its universality. The validity of this conjecture has been verified for some other classes of Lie groups, most notably for the case of tempered representations of reductive Lie groups by Rossmann.In this dissertation we explain how Kirillov's character formula can be used in the quantization of coadjoint orbits. First we prove a positivity property of Kirillov's character formula for some classes of Lie groups, including nilpotent Lie groups, which possess real polarizing subgroups. Then we use this positivity property to construct group representations following the ideas of Gelfand, Naimark, and Segal. Finally we discuss several approaches to proving positivity in the absence of real polarizations
Analytic ktheory by
Nigel Higson(
Book
)
1 edition published in 2000 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 2000 in Undetermined and held by 1 WorldCat member library worldwide
Representation theory of sl(2 ; C) and sl(3 ; C) by
Samantha Fuller(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
Etude du prolongement méromorphe de fonctions zëta spectrales grâce à la géométrie non commutative by
Franck GautierBaudhuit(
)
1 edition published in 2017 in French and held by 1 WorldCat member library worldwide
The thesis is about a families of zeta functions (Dirichlet series) that may be associated to certain algebras of Hilbert space operators. In this thesis, the main question in studying these zeta functions is to establish their meromorphic continuation from a halfplane in the complex plane to the full plane.Following an idea of Nigel Higson, we develop, in part I, a method for proving the existence of a meromorphic continuation for some spectral zeta functions. The method is based on algebras of generalized differential operators. The more important tool is the reduction sequence. The main theorem states, under some conditions, the existence of a meromorphic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. A formulation of the method into the framework of Connes and Moscovici, the regular spectral triples, setting in part II. In the third part, we give an application for zeta functions associate to a Laplacetype operator on a smooth, closed manifold. This example was initially treated in this way by Nigel Higson in 2006. We give another application for zeta functions associate to the noncommutative torus. In part IV, using the work of Dominique Manchon on algebras of pseudodifferential operators associated to unitary representations of nilpotent Lie group, we construct new spectral triples. In part V, set the main application of the method. We applicate the reduction method for some algebras of generalized differential operators, arising from a Kirillov representation of a class of nilpotent Lie algebras
1 edition published in 2017 in French and held by 1 WorldCat member library worldwide
The thesis is about a families of zeta functions (Dirichlet series) that may be associated to certain algebras of Hilbert space operators. In this thesis, the main question in studying these zeta functions is to establish their meromorphic continuation from a halfplane in the complex plane to the full plane.Following an idea of Nigel Higson, we develop, in part I, a method for proving the existence of a meromorphic continuation for some spectral zeta functions. The method is based on algebras of generalized differential operators. The more important tool is the reduction sequence. The main theorem states, under some conditions, the existence of a meromorphic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. A formulation of the method into the framework of Connes and Moscovici, the regular spectral triples, setting in part II. In the third part, we give an application for zeta functions associate to a Laplacetype operator on a smooth, closed manifold. This example was initially treated in this way by Nigel Higson in 2006. We give another application for zeta functions associate to the noncommutative torus. In part IV, using the work of Dominique Manchon on algebras of pseudodifferential operators associated to unitary representations of nilpotent Lie group, we construct new spectral triples. In part V, set the main application of the method. We applicate the reduction method for some algebras of generalized differential operators, arising from a Kirillov representation of a class of nilpotent Lie algebras
Periodic cyclic homology and smooth deformations by Allan Yashinski(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
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Algebraic number theory C*algebras Curves, Elliptic Functional analysis Geometry, Algebraic Geometry, Projective Great Britain Industrial safetyLaw and legislation KKtheory Ktheory Manifolds (Mathematics) Mathematics MedicineStudy and teaching (Graduate) Noncommutative algebras Noncommutative differential geometry Noncommutative function spaces Novikov conjecture Pediatric emergencies Primary care (Medicine) Primary care (Medicine)Safety measures Quantum theory