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Operator algebras and geometry

Author: Hitoshi Moriyoshi; Toshikazu Natsume
Publisher: Providence, R.I. : American Mathematical Society, ©2008.
Series: Translations of mathematical monographs, v. 237.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In the early 1980's topologists and geometers for the first time came across unfamiliar words like C^*-algebras and von Neumann algebras through the discovery of new knot invariants (by V.F.R. Jones) or through a remarkable result on the relationship between characteristic classes of foliations and the types of certain von Neumann algebras. During the following two decades, a great deal of progress was achieved in  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Moriyoshi, Hitoshi, 1961-
Operator algebras and geometry.
Providence, R.I. : American Mathematical Society, ©2008
(DLC) 2008029381
(OCoLC)233485416
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hitoshi Moriyoshi; Toshikazu Natsume
ISBN: 9781470416232 1470416239
OCLC Number: 1031909762
Description: 1 online resource
Contents: $C^*$-algebras $K$-theory $KK$-theory Von Neumann algebras Cyclic cohomology Quantizations and index theory Foliation index theorems
Series Title: Translations of mathematical monographs, v. 237.
Responsibility: Hitoshi Moriyoshi, Toshikazu Natsume ; translated by Hitoshi Moriyoshi and Toshikazu Natsume.

Abstract:

In the early 1980's topologists and geometers for the first time came across unfamiliar words like C^*-algebras and von Neumann algebras through the discovery of new knot invariants (by V.F.R. Jones) or through a remarkable result on the relationship between characteristic classes of foliations and the types of certain von Neumann algebras. During the following two decades, a great deal of progress was achieved in studying the interaction between geometry and analysis, in particular in noncommutative geometry and mathematical physics. The present book provides an overview of operator algebra.

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