K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups

Abstract

We study K-theory for the C � -algebras of all continuous functions on certain homogeneous spaces in the semi-simple connected Lie groups SLn(R) by the discrete subgroups SLn(Z), mainly. As a byproduct, we also consider a certain nilpotent case similarly. RESUMEN Estudiamos la K-teor´oa para las C � -´algebras de todas las funciones continuas sobre