On relative amenability for von Neumann algebras
Claire Anantharaman-Delaroche (1990)
Compositio Mathematica
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Claire Anantharaman-Delaroche (1990)
Compositio Mathematica
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Nasr-Isfahani, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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A.Ya. Helemskii (1994)
Extracta Mathematicae
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Massoud Amini (2015)
Open Mathematics
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We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.
Bodaghi, A., Eshaghi Gordji, M., Medghalchi, A.R. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ian G. Craw (1972)
Bulletin de la Société Mathématique de France
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Bodaghi, A., Ettefagh, M., Eshaghi Gordji, M., Medghalchi, A.R. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A. Jabbari, Mohammad Sal Moslehian, H. R. E. Vishki (2009)
Mathematica Bohemica
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A surjective bounded homomorphism fails to preserve -weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.