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 avon Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians. ;. INDICE: 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
- ISBN: 978-1-4419-1803-1
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 14/03/2012
- Nº Volúmenes: 1
- Idioma: Inglés