Connes amenability of the second dual of Arens regular Banach algebras

Mathematics – Functional Analysis

Scientific paper

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5 pages. To appear in Italian J. of Pure and Appl. Math

Scientific paper

In this paper we study the Connes amenability of the second dual of Arens
regular Banach algebras. Of course we provide a partial answer to the question
posed by Volker Runde. Also we fined the necessary and sufficient conditions
for the second dual of an Arens regular module extension Banach algebra to be
Connes amenable when the module is reflexive.

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