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Product Code:  CONM/365 
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Book DetailsContemporary MathematicsVolume: 365; 2004; 422 ppMSC: Primary 01; 19; 22; 46; 58;
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.ReadershipGraduate students and research mathematicians interested in operator algebras and applications, including noncommutative geometry.

Table of Contents

Articles

P. R. Halmos  The legend of John von Neumann [ MR 2106813 ]

George W. Mackey  Marshall H. Stone: mathematician, statesman, advisor, and friend [ MR 2106814 ]

William Arveson  The universal $A$dynamical system [ MR 2106815 ]

Paul Baum  On the index of equivariant elliptic operators [ MR 2106816 ]

Bruce Blackadar  The algebraization of dynamics: amenability, nuclearity, quasidiagonality, and approximate finite dimensionality [ MR 2106817 ]

David P. Blecher  Multipliers, $C^\ast $modules, and algebraic structure in spaces of Hilbert space operators [ MR 2106818 ]

Nigel Higson  Meromorphic continuation of zeta functions associated to elliptic operators [ MR 2106819 ]

Richard V. Kadison  Noncommutative conditional expectations and their applications [ MR 2106820 ]

Yoshikazu Katayama and Masamichi Takesaki  Outer actions of a discrete amenable group on approximately finite dimensional factors. I. General theory [ MR 2106821 ]

Paul S. Muhly and Baruch Solel  On the curvature of a completely positive map [ MR 2106822 ]

Judith A. Packer  Applications of the work of Stone and von Neumann to wavelets [ MR 2106823 ]

Robert T. Powers  Addition of spatial $E_0$semigroups [ MR 2106824 ]

Geoffrey L. Price  On shifts of minimal index on the hyperfinite ${\rm II}_1$ factor [ MR 2106825 ]

Marc A. Rieffel  Compact quantum metric spaces [ MR 2106826 ]

Jonathan Rosenberg  A selective history of the Stonevon Neumann theorem [ MR 2106827 ]

Marius Junge and ZhongJin Ruan  Decomposable maps on noncommutative $L_p$spaces [ MR 2106828 ]

Allan M. Sinclair and Roger R. Smith  A survey of Hochschild cohomology for von Neumann algebras [ MR 2106829 ]

Dana P. Williams  From the Stonevon Neumann theorem to the equivariant Brauer group and beyond [ MR 2106830 ]


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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.
Graduate students and research mathematicians interested in operator algebras and applications, including noncommutative geometry.

Articles

P. R. Halmos  The legend of John von Neumann [ MR 2106813 ]

George W. Mackey  Marshall H. Stone: mathematician, statesman, advisor, and friend [ MR 2106814 ]

William Arveson  The universal $A$dynamical system [ MR 2106815 ]

Paul Baum  On the index of equivariant elliptic operators [ MR 2106816 ]

Bruce Blackadar  The algebraization of dynamics: amenability, nuclearity, quasidiagonality, and approximate finite dimensionality [ MR 2106817 ]

David P. Blecher  Multipliers, $C^\ast $modules, and algebraic structure in spaces of Hilbert space operators [ MR 2106818 ]

Nigel Higson  Meromorphic continuation of zeta functions associated to elliptic operators [ MR 2106819 ]

Richard V. Kadison  Noncommutative conditional expectations and their applications [ MR 2106820 ]

Yoshikazu Katayama and Masamichi Takesaki  Outer actions of a discrete amenable group on approximately finite dimensional factors. I. General theory [ MR 2106821 ]

Paul S. Muhly and Baruch Solel  On the curvature of a completely positive map [ MR 2106822 ]

Judith A. Packer  Applications of the work of Stone and von Neumann to wavelets [ MR 2106823 ]

Robert T. Powers  Addition of spatial $E_0$semigroups [ MR 2106824 ]

Geoffrey L. Price  On shifts of minimal index on the hyperfinite ${\rm II}_1$ factor [ MR 2106825 ]

Marc A. Rieffel  Compact quantum metric spaces [ MR 2106826 ]

Jonathan Rosenberg  A selective history of the Stonevon Neumann theorem [ MR 2106827 ]

Marius Junge and ZhongJin Ruan  Decomposable maps on noncommutative $L_p$spaces [ MR 2106828 ]

Allan M. Sinclair and Roger R. Smith  A survey of Hochschild cohomology for von Neumann algebras [ MR 2106829 ]

Dana P. Williams  From the Stonevon Neumann theorem to the equivariant Brauer group and beyond [ MR 2106830 ]