Module Connes amenability of hypergroup measure algebras

Massoud Amini

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 169-182
  • ISSN: 2391-5455

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.

How to cite

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Massoud Amini. "Module Connes amenability of hypergroup measure algebras." Open Mathematics 13.1 (2015): 169-182. <http://eudml.org/doc/275955>.

@article{MassoudAmini2015,
abstract = {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.},
author = {Massoud Amini},
journal = {Open Mathematics},
keywords = {Hypergroup; Module Connes amenability; Normal module virtual diagonal; amenability; Connes-amenability; dual multiplier algebra; normal virtual diagonal},
language = {eng},
number = {1},
pages = {169-182},
title = {Module Connes amenability of hypergroup measure algebras},
url = {http://eudml.org/doc/275955},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Massoud Amini
TI - Module Connes amenability of hypergroup measure algebras
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 169
EP - 182
AB - 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.
LA - eng
KW - Hypergroup; Module Connes amenability; Normal module virtual diagonal; amenability; Connes-amenability; dual multiplier algebra; normal virtual diagonal
UR - http://eudml.org/doc/275955
ER -

References

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