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

• Date: 2003
• Main Authors: Chapovsky, Yu., Kalyuzhnyi, A. A., Чаповський, Ю. А., Калюжний, А. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4029
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.