Toeplitz algebras of semigroups

Abstract: I will start by reviewing classical work of Coburn, Douglas, and Cuntz about C*-algebras generated by isometries, and then present universal models for the Toeplitz algebras of submonoids of groups and for their boundary quotients, discussing their uniqueness and simplicity properties. This is recent joint work with Camila F. Sehnem that generalizes previous results of Nica, Li, and Raeburn and myself.

operator algebras

Audience: researchers in the topic

Conference on operator algebras and related topics in Istanbul, 2021