Geodesic
Character Connes amenability of dual Banach algebras
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 243-255

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/CMJ.2018.0451-16
Classification : 22D15, 43A07, 46H20, 46H25
Keywords: dual Banach algebra; Connes amenability; character amenability; locally compact group 
@article{10_21136_CMJ_2018_0451_16,
     author = {Ramezanpour, Mohammad},
     title = {Character {Connes} amenability of dual {Banach} algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {243--255},
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {2018},
     doi = {10.21136/CMJ.2018.0451-16},
     mrnumber = {3783596},
     zbl = {06861578},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0451-16/}
}
TY  - JOUR
AU  - Ramezanpour, Mohammad
TI  - Character Connes amenability of dual Banach algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2018
SP  - 243
EP  - 255
VL  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0451-16/
DO  - 10.21136/CMJ.2018.0451-16
LA  - en
ID  - 10_21136_CMJ_2018_0451_16
ER  - 
%0 Journal Article
%A Ramezanpour, Mohammad
%T Character Connes amenability of dual Banach algebras
%J Czechoslovak Mathematical Journal
%D 2018
%P 243-255
%V 68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0451-16/
%R 10.21136/CMJ.2018.0451-16
%G en
%F 10_21136_CMJ_2018_0451_16
Ramezanpour, Mohammad. Character Connes amenability of dual Banach algebras. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 243-255. doi: 10.21136/CMJ.2018.0451-16

Cité par Sources :