K-Theory for group C^*-algebras
Paul F. Baum, Rub\'en J. S\'anchez-Garc\'ia
TL;DR
This paper introduces K-theory of C*-algebras, equivariant K-homology, and KK-theory within the framework of the Baum-Connes conjecture, providing foundational insights and context for these mathematical concepts.
Contribution
It offers an accessible introduction to K-theory, equivariant K-homology, and KK-theory related to the Baum-Connes conjecture, based on lecture notes.
Findings
Clarifies the role of K-theory in C*-algebras
Explains equivariant K-homology and KK-theory concepts
Provides foundational understanding for Baum-Connes conjecture
Abstract
These notes are based on a lecture course given by the first author in the Sedano Winter School on K-theory held in Sedano, Spain, on January 22-27th of 2007. They aim at introducing K-theory of C^*-algebras, equivariant K-homology and KK-theory in the context of the Baum-Connes conjecture.
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