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Operator algebras, quantization, and noncommutative geometry : a centennial celebration honoring John von Neumann and Marshall H. Stone : AMS special session on operator algebras, quantization, and non-commutative geometry : a centennial celebration honoring John von Neumann and Marshall H. Stone, January 15-16, 2003, Baltimore, Maryland / Robert S. Doran, Richard V. Kadison, editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; 365.
- Contemporary mathematics, 0271-4132 ; 365
- Language:
- English
- Subjects (All):
- K-theory--Congresses.
- K-theory.
- Operator algebras--Congresses.
- Operator algebras.
- Lie groups--Congresses.
- Lie groups.
- Functional analysis--Congresses.
- Functional analysis.
- Physical Description:
- 1 online resource (434 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2004]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""The Legend of John von Neumann""; ""Marshall H. Stone: Mathematician, Statesman, Advisor, and Friend""; ""The Universal A-Dynamical System""; ""On the Index of Equivariant Elliptic Operators""; ""The Algebraization of Dynamics: Amenability, Nuclearity, Quasidiagonality, and Approximate Finite Dimensionality""; ""Multipliers, C*-modules, and Algebraic Structure in Spaces of Hilbert Space Operators""; ""Meromorphic Continuation of Zeta Functions Associated to Elliptic Operators""; ""Non-commutative Conditional Expectations and their Applications""
- ""On Shifts of Minimal Index on the Hyperfinite II1 Factor""""Compact Quantum Metric Spaces""; ""A Selective History of the Stone-von Neumann Theorem""; ""Decomposable Maps on Non-commutative Lp-spaces""; ""A Survey of Hochschild Cohomology for von Neumann Algebras""; ""From the Stone-von Neumann Theorem to the Equivariant Brauer Group and Beyond""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7955-3
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