65 research outputs found
Approximate biprojectivity of certain semigroup algebras
In this paper, we investigate the notion of approximate biprojectivity for
semigroup algebras and for some Banach algebras related to semigroup algebras.
We show that is approximately biprojective if and only if
is biprojective, provided that is a uniformly locally finite
inverse semigroup. Also for a Clifford semigroup , we show that approximate
biprojectivity gives pseudo amenability of . We
give a class of Banach algebras related to semigroup algebras which is not
approximately biprojective
A Conditional Expectation on the Tensor Product of Exel-Laca algebras
We show that the ultragraph -algebra can be embedded in as a -subalgebra. We then use this fact to investigate the existence of a conditional expectation on the tensor product of Exel-Laca algebras onto a certain subalgebra
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