Danylo Proskurin (Taras Shevchenko Kyiv National University, Ukraine)

Stability of isomorphism class of deformations of Cuntz algebra

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).