TY - JOUR
ID - 107698
TI - Approximate biprojectivity and biflatness of some algebras over certain semigroups
JO - Journal of the Iranian Mathematical Society
JA - JIMS
LA - en
SN -
AU - Pourmahmood-Aghababa, H.
AU - Sattari, M. H.
AD - Department of Mathematics, University of Tabriz, Tabriz, Iran.
AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Y1 - 2020
PY - 2020
VL - 1
IS - 2
SP - 145
EP - 155
KW - Banach algebras
KW - approximate biprojectivity
KW - biflatness
KW - inverse semigroups
DO -
N2 - 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.
UR - http://jims.iranjournals.ir/article_107698.html
L1 - http://jims.iranjournals.ir/article_107698_3d8ec1a06ee19cf80021bdc25af0458f.pdf
ER -