An inverse semigroup approach to the C*-algebras and crossed products of cancellative semigroups
An inverse semigroup approach to the C*-algebras and crossed products of cancellative semigroups
We give a newdefinition of the semigroup C*-algebra of a left cancellative semigroup, which resolves problems of the construction by X. Li.Namely, the newconstruction is functorial, and the independence of ideals in the semigroup does not influence the independence of the generators. It has a group C*-algebra as a natural …