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Handbook of K-theory

Author: E M Friedlander; Daniel R Grayson
Publisher: Berlin ; New York : Springer, ©2005.
Series: Gale virtual reference library.
Edition/Format:   eBook : Document : English
Database:WorldCat
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Handbook of K-theory.
Berlin ; New York : Springer, ©2005
(DLC) 2005925753
(OCoLC)61180397
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: E M Friedlander; Daniel R Grayson
ISBN: 9783540278559 3540278559 354023019X 9783540230199
OCLC Number: 262680667
Description: 1 online resource (xiv, 1163 pages) : illustrations.
Contents: Volume I --
I. Foundations and Computations --
I.1 Deloopings in Algebraic K-Theory --
I.2 The Motivic Spectral Sequence --
I.3 K-Theory of Truncated Polynomial Algebras --
I.4 Bott Periodicity in Topological, Algebraic and Hermitian K-Theory --
I.5 Algebraic K-Theory of Rings of Integers in Local and Global Fields --
II. K-Theory and Algebraic Geometry --
II. 1 Motivic Cohomology, K-Theory and Topological Cyclic Homology --
II. 2 K-Theory and Intersection Theory --
II. 3 Regulators --
II. 4 Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry --
II. 5 Mixed Motives --
Index. Volume 2 --
III. K-Theory and Geometric Topology --
III. 1 Witt Groups --
III. 2 K-Theory and Geometric Topology --
III. 3 Quadratic K-Theory and Geometric Topology --
IV. K-Theory and Operator Algebras --
IV. 1 Bivariant K- and Cyclic Theories --
IV. 2 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory --
IV. 3 Comparison Between Algebraic and Topological K-Theory for Banach Algebras and C*-Algebras --
V. Other Forms of K-Theory --
V.1 Semi-topological K-Theory --
V.2 Equivariant K-Theory --
V.3 K(1)-Local Homotopy, Iwasawa Theory and Algebraic K-Theory --
V.4 The K-Theory of Triangulated Categories --
Appendix: Bourbaki Articles on the Milnor Conjecture --
A Motivic Complexes of Suslin and Voevodsky --
B La conjecture de Milnor (d'aprs̈ V. Voevodsky) --
Index.
Series Title: Gale virtual reference library.
Responsibility: Eric M. Friedlander, Daniel R. Grayson, editors.
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Abstract:

Offers a compilation of techniques and results in K-theory.  Read more...

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