Higher rank Bell--Rogalski algebras (2506.20393v1)

Published 25 Jun 2025 in math.RA and math.RT

Abstract: We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$-graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$. 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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Equivalence of simplicity conditions for Bell–Rogalski algebras

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