Esslamzadeh, G. H.; Shojaee, B.; Mahmoodi, A. Approximate Connes-amenability of dual Banach algebras. (English) Zbl 1254.46052 Bull. Belg. Math. Soc. - Simon Stevin 19, No. 2, 193-213 (2012). This paper is concerned with an approximate version of the so-called Connes amenability of dual Banach algebras. The authors study this concept for von Neumann algebras, measure algebras, and algebras of pseudomeasures. It is shown that a von Neumann algebra is approximately Connes amenable if and only if it has an approximate normal virtual diagonal. The measure algebra corresponding to a locally compact group is approximately Connes amenable if and only if it is Connes amenable. Reviewer: Armando R. Villena (Granada) Cited in 4 ReviewsCited in 6 Documents MSC: 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 46H20 Structure, classification of topological algebras 46H35 Topological algebras of operators Keywords:approximately inner derivation; approximately Connes amenable; approximately strongly Connes amenable; approximate normal virtual diagonal; Connes amenable; dual Banach algebra PDFBibTeX XMLCite \textit{G. H. Esslamzadeh} et al., Bull. Belg. Math. Soc. - Simon Stevin 19, No. 2, 193--213 (2012; Zbl 1254.46052) Full Text: arXiv Euclid