Open Mathematics (Oct 2015)

Module Connes amenability of hypergroup measure algebras

  • Amini Massoud

DOI
https://doi.org/10.1515/math-2015-0070
Journal volume & issue
Vol. 13, no. 1

Abstract

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We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.

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