SEMIGROUP algebras, IDEMPOTENTS, ALGEBRA, BANACH algebras, FINITE, The
Abstract
We show that for any weakly cancellative uniformly locally finite inverse semigroup S such that l 1 (S) is ideally Connes amenable, for each D -classes D of S, E(D) is finite, where E(D) is the set of idempotents of D. This is similar to a theorem of Duncan and Paterson, that says if l 1 (S) is amenable then E(D) is finite. Also we study ideal Connes amenability of l 1 -Munn algebras. [ABSTRACT FROM AUTHOR]