Dear all,

The seminar meets on Wednesday March 27th at 11:00 in the Institute of

Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.

Program: Saeed Ghasemi — AF-algebras with Cantor-set property

A separable AF-algebra is a C*-algebra which is (isomorphic to) the

inductive limit of a direct sequence of finite dimensional C*-algebras.

We introduce a class of separable AF-algebras, called AF-algebras with

Cantor-set property, which are, in some contexts, suitable

noncommutative analogues of the Cantor set. One of the main features of

AF-algebras with Cantor-set property is that they are all Fraisse

limits of some category of finite dimensional C*-algebras and left

invertible embeddings. As a consequence of this, many properties of the

Cantor set that can be proved using the Fraisse theory, such as the

homogeneity and universality, also can also be proved for AF-algebras

with Cantor-set property. In fact, the category of all finite

dimensional C*-algebras and left invertible embeddings is a Fraisse

category and its Fraisse limit is a separable AF-algebra with Cantor-set

property which has the universality property that maps surjectively onto

any separable AF-algebra.*

This is a joint work with Wieslaw Kubis.

*- All of these results can be restated and proved in the language of

partially ordered abelian groups without mentioning any C*-algebras.

Best,

David