2017
Том 69
№ 9

All Issues

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

Chapovsky Yu., Kalyuzhnyi A. A.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 12, pp 1994-2005.

Citation Example: Chapovsky Yu., Kalyuzhnyi A. A. Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups // Ukr. Mat. Zh. - 2003. - 55, № 12. - pp. 1669-1677.

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