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

Intro -- 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 -- Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors I: General Theory -- 0. Introduction -- 1. Preliminary and notations -- 2. Modified Huebschmann Jones Ratcliffe exact sequence -- 3. Outer Actions of a discrete group on a factor -- 4. Model construction -- 5. Non-triviality of the exact sequence: 1 → H1θ → Out(M) → Out┬,θ(M) → 1 -- 6. Concluding remark -- On the Curvature of a Completely Positive Map -- Applications of the Work of Stone and von Neumann to Wavelets -- Addition of Spatial E0 -Semigroups -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.