Operator Algebras, Quantization, and Noncommutative Geometry: A Centennial Celebration Honoring John Von Neumann and Marshall H. Stone by Robert Doran | 9780821834022 | Paperback | Barnes & Noble
Operator Algebras, Quantization, and Noncommutative Geometry: A Centennial Celebration Honoring John Von Neumann and Marshall H. Stone

Operator Algebras, Quantization, and Noncommutative Geometry: A Centennial Celebration Honoring John Von Neumann and Marshall H. Stone

by Robert Doran
     
 

ISBN-10: 0821834029

ISBN-13: 9780821834022

Pub. Date: 12/06/2004

Publisher: American Mathematical Society

John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative

Overview

John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone. Papers range from expository and historical surveys to original research articles. All articles were carefully refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among others, are articles by George W. Mackey, Nigel Higson, and Marc Rieffel. Also featured is a reprint of P.R. Halmos's The Legend of John von Neumann. The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.

Product Details

ISBN-13:
9780821834022
Publisher:
American Mathematical Society
Publication date:
12/06/2004
Series:
Contemporary Mathematics Series, #365
Pages:
422
Product dimensions:
72.50(w) x 10.25(h) x 1.00(d)

Table of Contents

Prefacevii
The Legend of John von Neumann1
Marshall H. Stone: Mathematician, Statesman, Advisor, and Friend15
The Universal A-Dynamical System27
On the Index of Equivariant Elliptic Operators41
The Algebraization of Dynamics: Amenability, Nuclearity, Quasidiagonality, and Approximate Finite Dimensionality51
Multipliers, C*-modules, and Algebraic Structure in Spaces of Hilbert Space Operators85
Meromorphic Continuation of Zeta Functions Associated to Elliptic Operators129
Non-commutative Conditional Expectations and their Applications143
Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors I: General Theory181
On the Curvature of a Completely Positive Map239
Applications of the Work of Stone and von Neumann to Wavelets253
Addition of Spatial E[subscript o]-Semigroups281
On Shifts of Minimal Index on the Hyperfinite II[subscript 1] Factor299
Compact Quantum Metric Spaces315
A Selective History of the Stone-von Neumann Theorem331
Decomposable Maps on Non-commutative L[subscript p]-spaces355
A Survey of Hochschild Cohomology for von Neumann Algebras383
From the Stone-von Neumann Theorem to the Equivariant Brauer Group and Beyond401

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