Module Amenability and Tensor Product of Semigroup Algebras

Abasalt Bodaghi

Abstract


Let S be an inverse semigroup with an upward directed set of idempotents E. In this paper we prove that if S is amenable, then l1(S)l1(S) is module amenable as an l1(E)-module. Also we show that l1(S)l1(S) is module super-amenable if an appropriate group homomorphic image of S is finite.

Keywords


Banach modules, module derivation, module amenability, inverse semigroup.

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