TY - BOOK AU - Zhang,Lunchuan ED - SpringerLink (Online service) TI - Hilbert C*- Modules and Quantum Markov Semigroups SN - 9789819986682 AV - QA329-329.9 PY - 2024/// CY - Singapore PB - Springer Nature Singapore, Imprint: Springer KW - Operator theory KW - Functional analysis KW - Markov processes KW - Operator Theory KW - Functional Analysis KW - Markov Process N1 - Basic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms N2 - 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 UR - https://doi.org/10.1007/978-981-99-8668-2 ER -