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' ""The Legend of John von Neumann"". The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
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Gewicht
ISBN-13
978-0-8218-3402-2 (9780821834022)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
The legend of John von Neumann by P. R. Halmos Photo of stone: Marshall H. Stone: Mathematician, statesman, advisor, and friend by G. W. Mackey The universal $A$-dynamical system by W. Arveson On the index of equivariant elliptic operators by P. Baum The algebraization of dynamics: Amenability, nuclearity, quasidiagonality, and approximate finite dimensionality by B. Blackadar Multipliers, $C*$-modules, and algebraic structure in spaces of Hilbert space operators by D. P. Blecher Meromorphic continuation of zeta functions associated to elliptic operators by N. Higson Non-commutative conditional expectations and their applications by R. V. Kadison Outer actions of a discrete amenable group on approximately finite dimensional factors I: General theory by Y. Katayama and M. Takesaki On the curvature of a completely positive map by P. S. Muhly and B. Solel Applications of the work of Stone and von Neumann to wavelets by J. A. Packer Addition of spatial $E_o$-semigroups by R. T. Powers On shifts of minimal index on the hyperfinite $II_1$ factor by G. L. Price Compact quantum metric spaces by M. A. Rieffel A selective history of the Stone-von Neumann theorem by J. Rosenberg Decomposable maps on non-commutative $L_p$-spaces by M. Junge and Z.-J. Ruan A survey of Hochschild cohomology for von Neumann algebras by A. M. Sinclair and R. R. Smith From the Stone-von Neumann theorem to the equivariant Brauer group and beyond by D. P. Williams.
