Speaker
Alla Kuznetsova
(Kazan Federal University)
Description
The idea of the talk is to bring together the well known Blaschke product and operator algebras. We suggest the notion of the Blaschke $C^*$-algebra, which is the universal $C^*$-algebra generated by some relations. The relations are defined by a family of finite Blaschke products. In this way we extend the Coburn’s Theorem for a family of non-unitary isometries connected by a family of finite Blaschke products. We show that the Blaschke $C^*$-algebras is isomorphic to the inductive limit of Toeplitz algebras.
The talk is based on the joint work with Tamara Grigoryan.
Primary author
Alla Kuznetsova
(Kazan Federal University)
