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.
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Kalyuzhnyi, A.A., Chapovskii, Y.A. Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups. Ukrainian Mathematical Journal 55, 1994–2005 (2003). https://doi.org/10.1023/B:UKMA.0000031661.31923.7e
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DOI: https://doi.org/10.1023/B:UKMA.0000031661.31923.7e