Includes bibliographical references.

The legend of John von Neumann ; Marshall H. Stone: mathematician, statesman, advisor, and friend ; The universal ynamical system ; On the index of equivariant elliptic operators ; The algebraization of dynamics: amenability, nuclearity, quasidiagonality, and approximate finite dimensionality ; Multipliers, ^\ast odules, and algebraic structure in spaces of Hilbert space operators ; Meromorphic continuation of zeta functions associated to elliptic operators ; Noncommutative conditional expectations and their applications ; Outer actions of a discrete amenable group on approximately finite dimensional factors. I. General theory ; On the curvature of a completely positive map ; Applications of the work of Stone and von Neumann to wavelets ; Addition of spatial _0 emigroups ; On shifts of minimal index on the hyperfinite rm II_1 factor ; Compact quantum metric spaces ; A selective history of the Stonevon Neumann theorem ; Decomposable maps on noncommutative _p paces ; A survey of Hochschild cohomology for von Neumann algebras ; From the Stonevon Neumann theorem to the equivariant Brauer group and beyond P R Halmos ; George W Mackey ; William Arveson ; Paul Baum ; Bruce Blackadar ; David P Blecher ; Nigel Higson ; Richard V Kadison ; Yoshikazu Katayama and Masamichi Takesaki ; Paul S Muhly and Baruch Solel ; Judith A Packer ; Robert T Powers ; Geoffrey L Price ; Marc A Rieffel ; Jonathan Rosenberg ; Marius Junge and ZhongJin Ruan ; Allan M Sinclair and Roger R Smith ; Dana P Williams