Title of article
Approximate biprojectivity and biflatness of some algebras over certain semigroups
Author/Authors
Pourmahmood-Aghababa, H. Department of Mathematics, University of Tabriz, Tabriz, Iran , H. Sattari, M. Department of Mathematics - Azarbaijan Shahid Madani University, Tabriz, Iran
Pages
11
From page
145
To page
155
Abstract
We investigate (bounded) approximate biprojectivity of l1(S) for uniformly locally finite inverse semigroups. As a consequence, we show that when S=M(G,I) is the Brandt inverse semigroup, then l1(S) is (boundedly) approximately biprojective if and only if G is amenable. Moreover, we study biflatness and (bounded) approximate biprojectivity of the measure algebra M(S) of a topological Brandt semigroup.
Keywords
Banach algebras , inverse semigroups , biflatness , approximate biprojectivity
Journal title
journal of the iranian mathematical society
Serial Year
2020
Record number
2514458
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