Every simple higher dimensional noncommutative torus is an AT algebra

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N. Christopher Phillips This is my paper · ORCID

classification math.OA

keywords algebradimensionaleveryhighernoncommutativesimpletorusprove

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We prove that every simple higher dimensional noncommutative torus is an AT algebra.

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Noncommutative protori and inductive spectral triples
math.OA 2026-05 unverdicted novelty 6.0 of 10

Noncommutative protori are introduced as inductive limits of noncommutative tori; Elliott invariants are computed explicitly for several embedding classes and compatible spectral triples are constructed on the limits.