Analysis Seminar

Thursday, November 2, 2023 4:30 pm - 5:30 pm EDT (GMT -04:00)

Chris Schafhauser, University of Nebraska-Lincoln

"Finite dimensional approximations of groups"

Blackadar and Kirchberg introduced the class of matricial field C*-algebras, which are those which approximately embed into finite dimensional matrix algebras.  Specializing this property to group C*-algebras, one defies a group to be MF if it admits approximate finite dimensional representations which are approximately faithful and and approximately weakly contained in the left regular representation.  I will give a survey of known examples and properties of MF groups, including a recent result showing that free products of amenable groups amalgamated over a common normal subgroup are MF.

This seminar will be held both online and in person: