Groups and Operator Algebras Seminar

Speaker: Srivatsav Kunnawalkam Elayavalli (UC San Diego)

Title: Strict comparison for C* algebras.

Abstract: We will show that C*_r(G) has strict comparison for a large family of groups including acylindrically hyperbolic groups with rapid decay and trivial finite radical. This settles a long standing open problem (in the case of the free groups) arising from work of Dykema-Rordam in 1998, and admits various applications to C* classification theory. I will discuss some new developments if time permits. This is joint work with Amrutam, Gao and Patchell.