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arXiv · 2506.20393

Higher rank Bell--Rogalski algebras

Jason Gaddis·Daniele Rosso·Robert Won
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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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Jason Gaddis, Daniele Rosso, Robert Won. 2025-06-25. Higher rank Bell--Rogalski algebras. https://arxiv.org/abs/2506.20393

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