We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.
All Science Journal Classification (ASJC) codes
- Applied Mathematics