Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups

We prove that a conditional expectation on a Kac algebra, under certain conditions, decomposes into a composition of two conditional expectations of a special type and gives rise to a compact quantum hypergroup connected to a quantum Gelfand pair.

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Bibliographic Details
Date:2003
Main Authors: Kalyuzhnyi, A.A., Chapovsky, Yu.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2003
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164379
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups / A.A. Kalyuzhnyi, Yu.A. Chapovsky // Український математичний журнал. — 2003. — Т. 55, № 12. — С. 1669–1677. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine