Noncommutative dynamics and E-semigroups

書誌事項

Noncommutative dynamics and E-semigroups

William Arveson

(Springer monographs in mathematics)

Springer, c2003

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注記

Includes bibliographical references (p. 427-430) and index

内容説明・目次

内容説明

This book introduces the notion of an E-semigroup, a generalization of the known concept of E_O-semigroup. These objects are families of endomorphisms of a von Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians.

目次

Preface * Dynamical Origins * Part 1: Index and Perturbation Theory * E-semigroups * Continuous Tensor Products * Spectral C*-algebras * Part 2: Classification: Type I Cases * Path Spaces * Decomposable Product Systems * Part 3: Noncommutative Laplacians * CP-semigroups * C*-Generators and Dilation Theory * Index Theory for CP-Semigroups * Bounded Generators * Part 4: Causality and Dynamics * Pure Perturbations of CAR/CCR Flows * Interaction Theory * Part 5: Type III Examples * Powers' Examples * Tsirelson-Vershik Product Systems * Bibliography * Index

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