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 - 10.30504/jims.2020.107698
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 - https://jims.ims.ir/article_107698.html
L1 - https://jims.ims.ir/article_107698_f1cce5a41ba06bdadbd87490a3330180.pdf
ER -