The left regular $\sp{\ast} $-representation of an inverse semigroup

J. R. Wordingham
1982 Proceedings of the American Mathematical Society  
The left regular '-representation of the semigroup algebra of an inverse semigroup is faithful. Clifford semigroups with a particular type of semilattice are shown to have the weak containment property if and only if each subgroup is amenable.
doi:10.1090/s0002-9939-1982-0663865-3 fatcat:up3ql2wxf5clbhvy5djzwgtnti