Title : ( σ-amenability of Banach algebras )
Authors: Madjid Mirzavaziri , Mohammad Sal Moslehian ,
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Abstract
We introduce the notion of ¾-amenability in the context of Banach algebras as an extension of the ordinary notion of amenability. As an illustration by de¯ning the concept of ¾-Connes-amenability we show that each ¾-centralizable and Connes- amenable von Neumann algebra is ¾-Connes-amenable for every surjective linear map- ping ¾.
Keywords
, Derivation; ¤-homomorphism; ¾-derivation, Inner ¾-derivation; ¾-centrali- zer; Inner ¾-centralizer; ¾-contractibility; ¾-amenability; ¾-Connes-amenability; von Neumann algebra; C¤-algebra.
@article{paperid:1015362,
author = {Madjid Mirzavaziri, and Sal Moslehian, Mohammad},
title = {σ-amenability of Banach algebras},
journal = {Southeast Asian Bulletin of Mathematics},
year = {2009},
volume = {33},
number = {1},
month = {January},
issn = {0129-2021},
pages = {88--99},
numpages = {11},
keywords = {Derivation; ¤-homomorphism; ¾-derivation; Inner ¾-derivation; ¾-centrali-
zer; Inner ¾-centralizer; ¾-contractibility; ¾-amenability; ¾-Connes-amenability; von
Neumann algebra; C¤-algebra.},
}
%0 Journal Article
%T σ-amenability of Banach algebras
%A Madjid Mirzavaziri,
%A Sal Moslehian, Mohammad
%J Southeast Asian Bulletin of Mathematics
%@ 0129-2021
%D 2009
