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.
Every simple higher dimensional noncommutative torus is an AT algebra
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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
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.