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Hilbert C*- Modules and Quantum Markov Semigroups

By: Lunchuan Zhang

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eBook | 16 April 2024

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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.