2 papers
math.FA2017
On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group
A. A. Kalyuzhnyi, G. B. Podkolzin, Yu. A. Chapovsky
We prove that the Fourier space of a hypergroup constructed from a conditional expectation on a locally compact group has a Banach algebra structure.
math.QA2000
Conditional expectations on compact quantum groups and new examples of quantum hypergroups
A. A. Kalyuzhnyi
We propose a construction of quantum hypergroups using conditional expectations on compact quantum groups. Using this construction, we describe several series of non-trivial finite…