An invitation to quantum groups and duality : from Hopf algebras to multiplicative unitaries and beyond /

An invitation to quantum groups and duality : from Hopf algebras to multiplicative unitaries and beyond /

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Bibliographic Details
Author / Creator:	Timmermann, Thomas.
Imprint:	Zürich, Switzerland : European Mathematical Society, c2008.
Description:	xx, 407 p. : ill. ; 24 cm.
Language:	English
Series:	EMS textbooks in mathematics EMS textbooks in mathematics.
Subject:	Hopf algebras. Quantum groups. Duality theory (Mathematics) Operator algebras. Duality theory (Mathematics) Hopf algebras. Operator algebras. Quantum groups.
Format:	E-Resource Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/6862646

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ISBN:	9783037190432 3037190434
Notes:	Includes bibliographical references (p. [385]-396) and index.
Summary:	"This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. The book is addressed to graduate students and non-experts from other fields. Only basic knowledge of (multi-)linear algebra is required for the first part, while the second and third part assume some familiarity with Hilbert spaces, C[superscript *]-algebras, and von Neumann algebras."--BOOK JACKET.

Table of Contents:

From groups to quantum groups
Hopf algebras
Multiplier Hopf algebras and their duality
Algebraic compact quantum groups
Quantum groups and C*-/von Neumann bialgebras
First definitions and examples
C*-algebraic compact quantum groups
Examples of compact quantum groups
Multiplicative unitaries
Locally compact quantum groups
Coactions on C*-algebras, reduced crossed products, and duality
Pseudo-multiplicative unitaries on Hilbert spaces
Pseudo-multiplicative unitaries on C*-modules.