Abstract
Let be a Banach algebra with bounded approximate identity, and let be its multiplier algebra. If there exists a continuous linear injection such that, for every and every , , then is a dual Banach algebra and the following are equivalent:
(i) is amenable;
(ii) is Connes amenable;
(iii) has a normal, virtual diagonal.
Citation
Bahman Hayati. Massoud Amini. "Connes-amenability of multiplier Banach algebras." Kyoto J. Math. 50 (1) 41 - 50, Spring 2010. https://doi.org/10.1215/0023608X-2009-003
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