THE K-THEORY OF SOME REDUCED INVERSE SEMIGROUP C*-ALGEBRAS

摘要

We use a recent result by Cuntz, Echterhoff and Li about the K-theory of certain reduced C* crossed products to describe the K-theory of C-r*(S) when S is an inverse semigroup satisfying certain requireMents. A result of Milan and Steinberg allows us to show that C-r(*)(S) is Morita equivalent to a crossed product of the type handled by Cuntz, Echterhoff and Li. We apply our result to graph inverse semigroups and the inverse semigroups of one-dimensional filings.