Analysis Seminar: "Crossed product approach to equivariant localization algebras"

Abstract: For any discrete group G and any proper G-space X, the equivariant localization algebra of X was introduced by Guoliang Yu, in the context of the Baum—Connes conjecture. The K-theory of the algebra serves as the left-hand side of the Baum—Connes conjecture.

I will explain how the crossed product algebra of the so-called representable localization algebra of X serves as a variant of the equivariant localization algebra of X.

If time permits, using this crossed product algebra, I will describe a new aspect of the gamma element method, a standard method for proving the Baum—Connes conjecture.

Host: Yanli Song