Abasalt Bodaghi
Module super-amenability for semigroup algebras.
Thu, 12/24/2009 - 16:01 — SomNambulAuthors: Massoud Amini, Abasalt Bodaghi
Subjects: Functional Analysis
AbstractLet $S$ be an inverse semigroup with the set of idempotents $E$. In this
paper we define the module super-amenability of a Banach algebra which is a
Banach module over another Banach algebra with compatible actions, and show
that when $E$ is upward directed and acts on $S$ trivially from left and by
multiplication from right, the semigroup algebra $ \ell ^{1}(S)$ is
$\ell^{1}(E)$-module super-amenable if and only if an appropriate group
homomorphic image of $S$ is finite.Module amenability of the second dual and module topological center of semigroup algebras.
Tue, 12/22/2009 - 16:01 — SomNambulAuthors: Massoud Amini, Abasalt Bodaghi
Subjects: Functional Analysis
AbstractLet $S$ be an inverse semigroup with an upward directed set of idempotents
$E$. In this paper we define the module topological center of second dual of a
Banach algebra which is a Banach module over another Banach algebra with
compatible actions, and find it for $ \ell ^{1}(S)^{**}$ (as an
$\ell^{1}(E)$-module). We also prove that $ \ell ^{1}(S)^{**}$ is
$\ell^{1}(E)$-module amenable if and only if an appropriate group homomorphic
image of $S$ is finite.
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