Hilbert C-- Modules and Quantum Markov Semigroups

Hilbert C*- Modules and Quantum Markov Semigroups



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English | PDF EPUB (True) | 2024 | 222 Pages | ISBN : 9819986672 | 21.4 MB

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.

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