Krein-Milman for the space of sofic representations

15.10.2019 15:00 - 17:00

Liviu Paunescu (IMAR)

Following ideas of Nate Brown, the space of sofic representations of a countable group, up to conjugation, is shown to have a convex structure. For a sofic, non-amenable group, this space is not compact, as shown by Taka Ozawa. In this talk we discuss the difficulties of proving a Krein-Milman result for this space, in the lack of compactness. Joint work with Radu Munteanu.


G. Arzhantseva, Ch. Cashen


SR 7, 2. OG., OMP 1