A note on crossed products of rotation algebras

2019/05/29 by Bönicke, Christian, Chakraborty, Sayan, He, Zhuofeng +1 · 1 citation
#46L35 #46L55 #46L80 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1905.12279

Abstract

We compute the K-theory of crossed products of rotation algebras A_θ, for any real angle θ, by matrices in SL(2,ℤ) with infinite order. Using techniques of continuous fields, we show that the canonical inclusion of A_θ into the crossed products is injective at the level of K₀-groups. We then give an explicit set of generators for the K₀-groups and compute the tracial ranges concretely.

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• Morita equivalence classes for crossed product of rational rotation algebras

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