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January, 2001 Realization of amenable bicategories and weak amenability of fusion algebras
Tomohiro HAYASHI
J. Math. Soc. Japan 53(1): 147-174 (January, 2001). DOI: 10.2969/jmsj/05310147

Abstract

In this paper, we consider the realization problem of amenable bicategories by using AFD-bimodules. As a corollary, we can realize an amenable standard lattice as that of an AFD II1-subfactor. This gives another proof of S. Popa's theorem. Weak amenability of fusion algebras is also discussed.

Citation

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Tomohiro HAYASHI. "Realization of amenable bicategories and weak amenability of fusion algebras." J. Math. Soc. Japan 53 (1) 147 - 174, January, 2001. https://doi.org/10.2969/jmsj/05310147

Information

Published: January, 2001
First available in Project Euclid: 9 June 2008

zbMATH: 0972.46043
MathSciNet: MR1800528
Digital Object Identifier: 10.2969/jmsj/05310147

Subjects:
Primary: 46L37

Keywords: fusion algebra , Subfactor , tensor category

Rights: Copyright © 2001 Mathematical Society of Japan

Vol.53 • No. 1 • January, 2001
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