Connes amenability-like properties
Studia Mathematica, Tome 220 (2014) no. 1, pp. 55-72
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We introduce and study the notions of $w^*$-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra $\ell ^1$ is not $w^*$-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.
Keywords:
introduce study notions * approximate connes amenability pseudo connes amenability dual banach algebras prove dual banach sequence algebra ell * approximately connes amenable general concepts pseudo connes amenability connes amenability distinct moreover relations between these notions discussed
Affiliations des auteurs :
Amin Mahmoodi 1
@article{10_4064_sm220_1_3,
author = {Amin Mahmoodi},
title = {Connes amenability-like properties},
journal = {Studia Mathematica},
pages = {55--72},
year = {2014},
volume = {220},
number = {1},
doi = {10.4064/sm220-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm220-1-3/}
}
Amin Mahmoodi. Connes amenability-like properties. Studia Mathematica, Tome 220 (2014) no. 1, pp. 55-72. doi: 10.4064/sm220-1-3
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