Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 20.12.15, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: Hilbert-Schmidt stability of groups via \(C^*\)–algebras
Speaker: Tatiana Shulman (IMPAN)
Abstract:The aim of this talk is to show that C * algebras are useful for studying stability of groups. In particular we will discuss some obstructions for Hilbert-Schmidt stability of groups, obtain a complete characterization of Hilbert-Schmidt stability for amenable groups in terms of characters, and discuss some examples of amenable and non-amenable Hilbert-Schmidt stable groups. If time permits we will also consider certain modifications of Hilbert-Schmidt stability when matrices are replaced by elements of von Neumann factors, as well as a relation between Hilbert-Schmidt stability and operator norm-stability. All necessary information on C * -algebras and on the notion of stability will be given during the talk. The talk is mostly based on joint works with Don Hadwin.