000			01753 a2200205 4500
003			OSt
005			20250106120347.0
008			250103b xxu||||| |||| 00| 0 eng d
020			_a9783031072482
040			_cIIT Kanpur
041			_aeng
082			_a515.7 _bT871a
100			_aTuset, Lars
245			_aAnalysis and quantum groups _cLars Tuset
260			_bSpringer _c2022 _aSwitzerland
300			_axiii, 633p
520			_aThis 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 provided on topology, measure theory and complex function theory.
650			_aQuantum groups
942			_cBK
999			_c567314 _d567314