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An Invitation to Quantum Groups and ...

Timmermann, Thomas,

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An Invitation to Quantum Groups and Duality = From Hopf Algebras to Multiplicative Unitaries and Beyond /

Record Type:	Electronic resources : Monograph/item
Title/Author:	An Invitation to Quantum Groups and Duality/ Thomas Timmermann
Reminder of title:	From Hopf Algebras to Multiplicative Unitaries and Beyond /
Author:	Timmermann, Thomas,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2008,
Description:	1 online resource (427 pages)
Subject:	Functional analysis -
Online resource:	https://doi.org/10.4171/043
Online resource:	https://www.ems-ph.org/img/books/timmermann_mini.jpg
ISBN:	9783037195437

An Invitation to Quantum Groups and Duality = From Hopf Algebras to Multiplicative Unitaries and Beyond /
Timmermann, Thomas,

An Invitation to Quantum Groups and DualityFrom Hopf Algebras to Multiplicative Unitaries and Beyond /[electronic resource] :Thomas Timmermann - Zuerich, Switzerland :European Mathematical Society Publishing House,2008 - 1 online resource (427 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. Part I of the text presents the basic theory of Hopf algebras, Van Daele's duality theory of algebraic quantum groups, and Woronowicz's compact quantum groups, staying in a purely algebraic setting. Part II focuses on quantum groups in the setting of operator algebras. Woronowicz's compact quantum groups are treated in the setting of C*-algebras, and the fundamental multiplicative unitaries of Baaj and Skandalis are studied in detail. An outline of Kustermans' and Vaes' comprehensive theory of locally compact quantum groups completes this part. Part III leads to selected topics, such as coactions, Baaj-Skandalis-duality, and approaches to quantum groupoids in 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*-algebras, and von Neumann algebras.

ISBN: 9783037195437

Standard No.: 10.4171/043doiSubjects--Topical Terms:

731345
Functional analysis

An Invitation to Quantum Groups and Duality = From Hopf Algebras to Multiplicative Unitaries and Beyond /
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