关于旋转代数的交叉积的注记

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-05-29 DOI:10.7900/JOT.2019SEP08.2283

Christian Bonicke, Sayan Chakraborty, Zhuofeng He, Hung-Chang Liao

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引用次数: 0

摘要

我们用无限阶的SL(2,Z)中的矩阵，计算了任意实数角θ下旋转代数Aθ的交叉积的k理论。利用连续场的技术，我们证明了在k0群的水平上，交叉积中的Aθ正则包含是内射的。然后给出了k0群的显式生成集，并具体计算了跟踪范围。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on crossed products of rotation algebras

We compute the K-theory of crossed products of rotation algebras Aθ, 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 Aθ 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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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.