Hilbert C*- Modules and Quantum Markov Semigroups by Lunchuan Zhang



Hilbert C*- Modules and Quantum Markov Semigroups by Lunchuan Zhang


pdf, epub | 21.43 MB | English | Isbn:9789819986675 | Author: Lunchuan Zhang | Year: 2024


Description:

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.