Character Connes amenability of dual Banach algebras

Mohammad Ramezanpour

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 1, page 243-255
  • ISSN: 0011-4642

Abstract

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We study the notion of character Connes amenability of dual Banach algebras and show that if A is an Arens regular Banach algebra, then A * * is character Connes amenable if and only if A is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras. These help us to give examples of dual Banach algebras which are not Connes amenable.

How to cite

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Ramezanpour, Mohammad. "Character Connes amenability of dual Banach algebras." Czechoslovak Mathematical Journal 68.1 (2018): 243-255. <http://eudml.org/doc/294686>.

@article{Ramezanpour2018,
abstract = {We study the notion of character Connes amenability of dual Banach algebras and show that if $A$ is an Arens regular Banach algebra, then $A^\{**\}$ is character Connes amenable if and only if $A$ is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras. These help us to give examples of dual Banach algebras which are not Connes amenable.},
author = {Ramezanpour, Mohammad},
journal = {Czechoslovak Mathematical Journal},
keywords = {dual Banach algebra; Connes amenability; character amenability; locally compact group},
language = {eng},
number = {1},
pages = {243-255},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Character Connes amenability of dual Banach algebras},
url = {http://eudml.org/doc/294686},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Ramezanpour, Mohammad
TI - Character Connes amenability of dual Banach algebras
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 243
EP - 255
AB - We study the notion of character Connes amenability of dual Banach algebras and show that if $A$ is an Arens regular Banach algebra, then $A^{**}$ is character Connes amenable if and only if $A$ is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras. These help us to give examples of dual Banach algebras which are not Connes amenable.
LA - eng
KW - dual Banach algebra; Connes amenability; character amenability; locally compact group
UR - http://eudml.org/doc/294686
ER -

References

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