Approximate biprojectivity and biflatness of some algebras over certain semigroups
نویسندگان
1 Department of Mathematics, University of Tabriz, Tabriz, Iran.
2 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
doi
10.30504/jims.2020.107698چکیده
We investigate (bounded) approximate biprojectivity of $l^1(S)$ for uniformly locally finite inverse semigroups. As a consequence, we show that when $S=\mathcal{M}(G, I)$ is the Brandt inverse semigroup, then $l^1(S)$ 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.
