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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An example of Kac algebra actions on von Neumann algebras


Author: Takehiko Yamanouchi
Journal: Proc. Amer. Math. Soc. 119 (1993), 503-511
MSC: Primary 46L55; Secondary 16W30, 22D25, 46L10
DOI: https://doi.org/10.1090/S0002-9939-1993-1150659-5
MathSciNet review: 1150659
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Abstract: By using Majid's bicrossproduct Kac algebra, a nontrivial example of an action of a Kac algebra on a von Neumann algebra is given. It is shown that the actions constructed are ergodic. The crossed products by the actions are examined.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1150659-5
Keywords: Bicrossproducts, matched pairs, Kac algebras, actions of Kac algebras
Article copyright: © Copyright 1993 American Mathematical Society