K-Theory for Semigroup C*-Algebras and Partial Crossed Products
K-Theory for Semigroup C*-Algebras and Partial Crossed Products
Using the Baum-Connes conjecture with coefficients, we develop a K-theory formula for reduced C*-algebras of strongly 0-E-unitary inverse semigroups, or equivalently, for a class of reduced partial crossed products. This generalizes and gives a new proof of previous K-theory results of Cuntz, Echterhoff and the author. Our K-theory formula applies …