A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS-Reference-Cited by-同舟云学术

A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS

Published:2003-11 Issue:09 Volume:14 Page:903-1001
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

MASUDA T.¹,NAKAGAMI Y.²,WORONOWICZ S. L.³

Affiliation:

1. Institute of Mathematics, University of Tsukuba, 1-1, Tennodai 1 chome, Tsukuba-shi, Ibaraki, 305-8571, Japan

2. Department of Mathematical and Physical Science, Faculty of Science, Japan Women's University, 8-1, Mejirodai 2 chome, Bunkyo-ku, Tokyo, 112-8681, Japan

3. Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Abstract

We develop a general framework to deal with the unitary representations of quantum groups using the language of C*-algebras. Using this framework, we prove that the duality holds in a general context. This extends the framework of the duality theorem using the language of von Neumann algebras previously developed by Masuda and Nakagami.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X03002071

Reference31 articles.

1. On the spatial theory of von Neumann algebras

2. Approximate Identities and Factorization in Banach Modules

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