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An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond /
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Title
An Invitation to Quantum Groups and Duality ([EBook] :) : From Hopf Algebras to Multiplicative Unitaries and Beyond / / Thomas Timmermann
Author
Timmermann, Thomas
Publication
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2008
Physical Details
1 online resource (427 pages)
Series
EMS Textbooks in Mathematics (ETB)
ISBN
9783037195437
Summary Note
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.:
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.4171/043
See Also
https://www.ems-ph.org/img/books/timmermann_mini.jpg
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Functional Analysis
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Timmermann, Thomas
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EMS Textbooks in Mathematics (ETB)
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