Analysis and Quantum Groups - Lars Tuset - 書籍 - Springer International Publishing AG - 9783031072482 - 2023年7月28日
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Lars Tuset
Analysis and Quantum Groups 2022 edition

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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 extensivelyThe 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 provided on topology, measure theory and complex function theory.

633 pages, XIII, 633 p.

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2023年7月28日
ISBN13 9783031072482
出版社 Springer International Publishing AG
ページ数 633
寸法 150 × 220 × 10 mm   ·   893 g
言語 ドイツ語  

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