An Invitation to Quantum Groups and Duality

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From Hopf Algebras to Multiplicative Unitaries and Beyond

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	FrontmatterDownload pp. i–v
	PrefaceDownload pp. vii–viii
	ContentsDownload pp. ix–xiii
	IntroductionDownload pp. xv–xx
	Part I From groups to quantum groupsp. 1
1	Hopf algebraspp. 3–39
2	Multiplier Hopf algebras and their dualitypp. 40–64
3	Algebraic compact quantum groupspp. 65–93
	Part II Quantum groups in the setting of $C^{*}$ -algebras and von Neumann algebrasp. 95
4	First definitions and examplespp. 97–106
5	$C^{*}$ -algebraic compact quantum groupspp. 107–134
6	Examples of compact quantum groupspp. 135–165
7	Multiplicative unitariespp. 166–202
8	Locally compact quantum groupspp. 203–247
	Part III Selected topicsp. 249
9	Coactions on $C^{*}$ -algebras, reduced crossed products, and dualitypp. 251–288
10	Pseudo-multiplicative unitaries on Hilbert spacespp. 289–327
11	Pseudo-multiplicative unitaries on $C^{*}$ -modulespp. 328–368
12	Appendixpp. 369–383
	Bibliographypp. 385–396
	Symbol Indexpp. 397–399
	Indexpp. 401–407