Hilbert C*- Modules and Quantum Markov Semigroups
Author | : Lunchuan Zhang |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2024-02-16 |
ISBN-10 | : 9819986672 |
ISBN-13 | : 9789819986675 |
Rating | : 4/5 (72 Downloads) |
Book excerpt: This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence opening a new field of quantum probability research. The general scope of the book includes: basic theory of Hilbert C*-modules; generalized indices and module frames; operator valued Dirichlet forms; and quantum Markov semigroups. This book will be of value to scholars and graduate students in the fields of operator algebra, quantum probability and quantum information.