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 ℓ¹ 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-3,
author = {Amin Mahmoodi},
title = {Connes amenability-like properties},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {55-72},
zbl = {1291.46046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-3}
}
Amin Mahmoodi. Connes amenability-like properties. Studia Mathematica, Tome 223 (2014) pp. 55-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-1-3/