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Operator Connes-amenability of completely bounded multiplier Banach algebras. (English) Zbl 07088756
Let $$B$$ be a completely contractive Banach algebra and $${\mathcal{M}}_{cb}(B)$$ the completely bounded multiplier algebra of $$B$$. Conditions, under which a) $${\mathcal{M}}_{cb}(B)$$ is a dual Banach algebra and b) the operator amenability of $$B$$ is equivalent to the operator Connes-amenability of $${\mathcal{M}}_{cb}(B)$$, are found.
Reviewer: Mati Abel (Tartu)
##### MSC:
 46H20 Structure, classification of topological algebras 46H35 Topological algebras of operators
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##### References:
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