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Noncommutative dynamics and E-semigroups / William Arveson.

By: Material type: TextTextSeries: Springer monographs in mathematicsPublication details: New York : Springer, c2003.Description: x, 434 p. : ill. ; 25 cmISBN:
  • 9780387001517
  • 0387001514 (alk. paper)
Subject(s): DDC classification:
  • 512.24 21 WIL
Online resources:
Contents:
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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Item type Current library Collection Call number Status Date due Barcode
General Books General Books CUTN Central Library Sciences Non-fiction 512.24 WIL (Browse shelf(Opens below)) Available 28093

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.

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

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

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