We consider tracial stability, which requires that tuples of elements of a C*-algebra with a trace that nearly satisfy the relation are close to tuples that actually satisfy the relation. Here both "near" and "close" are in terms of the associated 2-norm from the trace, e.g., the Hilbert-Schmidt norm for matrices. Precise definitions are stated in terms of liftings from tracial ultraproducts of C*-algebras. We will discuss matricial tracial stability and stability with respect to tracial norms on real rank zero C*-algebras. In particular we will completely characterize matricial tracial stability for nuclear C*-algebras in terms of certain approximation properties for traces. We will discuss obstructions for tracial stability of  non-nuclear C*-algebras. We will also discuss tracial stability for groups. This is a joint work with Don Hadwin.

iCalendar URL:
TBC
How to use our iCalendar feeds
Download current list of all events in the series (will not update)