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Titlebook: Analysis and Quantum Groups; Lars Tuset Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer

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期刊全称Analysis and Quantum Groups
影响因子2023Lars Tuset
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发行地址Presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups.All topics covered are developed and treated on their own premises.Includes crossed products
图书封面Titlebook: Analysis and Quantum Groups;  Lars Tuset Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer
影响因子.This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In particular, the rather unfamiliar modular theory of weights plays a crucial role in the theory, due to the presence of ‘Haar integrals’ on locally compact quantum groups, and is thus treated quite extensively..The topics covered are developed independently, and each can serve either as a separate course in its own right or as part of a broader course on locally compact quantum groups. The second part of the book covers crossed products of coactions, their relation to subfactors and other types of natural products such as cocycle bicrossed products, quantum doubles and doublecrossed products. Induced corepresentations, Galois objects and deformations of coactions by cocycles are also treated. Each section is followed by a generous supply of exercises. To complete the book, an appendix is p
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ese, are exactly the ones that attain their norm at the unit, or in the non-unital case, attain it as the limit evaluated at any approximative unit; such ‘units’ always exist. Any bounded linear functional can be written as a difference of two positive functionals, which in the commutative case amou
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Rudi Stouffs,José N. Beirão,José P. Duarteperators should act on some Hilbert spaces, so that one can talk about self-adjointness which is needed to give expectation values that are real numbers; such values are supposed to be the outcome of a measurement.
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Chapter 1 Introductory Material,pter on crossed products of C.-dynamical systems of locally compact groups. Such systems are defined just as von Neumann dynamical systems except for the fact that we consider continuity with respect to norm. A crossed product is then a certain C.-algebra describing the dynamical system. This interp
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