On q-tensor products of Cuntz algebras
Journal article, 2022

We consider the C∗-algebra Eqn, m, which is a q-twist of two Cuntz-Toeplitz algebras. For the case |q| < 1, we give an explicit formula which untwists the q-deformation showing that the isomorphism class of Eqn, mdoes not depend on q. For the case |q| = 1, we give an explicit description of all ideals in Eqn, m. In particular, we show that Eqn, mcontains a unique largest ideal Mq. We identify Eqn, m/Mq with the Rieffel deformation of On ⊗Om and use a K-theoretical argument to show that the isomorphism class does not depend on q. The latter result holds true in a more general setting of multiparameter deformations.

Fock representation

Rieffel's deformation

Q -deformation

Cuntz-Toeplitz algebra

K -theory


Olexiy Kuzmin

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Vasyl Ostrovskyi

National Academy of Sciences in Ukraine

D. Proskurin

Taras Shevchenko National University of Kyiv

Moritz Weber

Universität des Saarlandes

R. Y. Yakymiv

Taras Shevchenko National University of Kyiv

International Journal of Mathematics

0129-167X (ISSN)

Vol. 33 2 2250017

Subject Categories

Algebra and Logic


Mathematical Analysis



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Latest update

4/5/2022 6