Higher rank Bell--Rogalski algebras

Abstract

We generalize a construction of Bell and Rogalski to realize new examples of Zn-graded simple rings. This construction also generalizes TGWAs of type (A1)n. In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion.

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