Stability of isomorphism class of deformations of Cuntz algebra

Abstract:
We consider the deformations of class of C^*-algebras generated by quadratic Wick relations. Such algebras are deformations of well-known Cuntz algebra generated by tuples of isometries with orthogonal ranges. The sufficient conditions for the isomorphism of deformed C^*-algebra and non-deformed one is presented. The Fock representation of deformations is considered also.

Joint work with Lyudmila Turowska (Department of mathematics, Chalmers University of Technology, Goeteborg, Sweden).