Abstract

We consider the [Formula: see text]-algebra [Formula: see text], which is a [Formula: see text]-twist of two Cuntz–Toeplitz algebras. For the case [Formula: see text], we give an explicit formula which untwists the [Formula: see text]-deformation showing that the isomorphism class of [Formula: see text] does not depend on [Formula: see text]. For the case [Formula: see text], we give an explicit description of all ideals in [Formula: see text]. In particular, we show that [Formula: see text] contains a unique largest ideal [Formula: see text]. We identify [Formula: see text] with the Rieffel deformation of [Formula: see text] and use a K-theoretical argument to show that the isomorphism class does not depend on [Formula: see text]. The latter result holds true in a more general setting of multiparameter deformations.

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