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

• Datum: 2003
• Hauptverfasser: Chapovsky, Yu., Kalyuzhnyi, A. A., Чаповський, Ю. А., Калюжний, А. А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4029
• Назва журналу: 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.