<title language="eng">K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups

Abstract

Estudiamos la K-teoría para las álgebras de todas las funciones continuas sobre ciertos espacios homogeneos, principalmente en los grupos de Lie conexos semi- simples y subgrupos discretos . Como subproducto consideramos un caso nilpotente en forma anáaloga.We study K-theory for thealgebras of all continuous functions on certain homogeneous spaces in the semi-simple connected Lie groups by the discrete subgroups , mainly. As a byproduct, we also consider a certain nilpotent case similarly.

Keywords

• C*-algebra
• K-theory
• homogeneous space
• semi-simple Lie group
• discrete subgroup