### Wieslaw Kubis (Institute of Mathematics, Prague)

Monday, April 11, 2022, 11:00 – 12:00, 32/114

Abstract:

We introduce and study a new class of separable approximately finite-dimensional (AF) C* -algebras, namely, AF-algebras with “Cantor property”. We show the existence of a separable AF-algebra A that is universal in the sense of quotients, i.e. every separable AF-algebra is a quotient of A. Moreover, a natural extension property involving left-invertible embeddings describes it uniquely up to isomorphism.

This is a joint work with Saeed Ghasemi. The paper is Universal AF-algebras. J. Funct. Anal. 279 (2020), no. 5, 108590, 32 pp.