阿贝尔群在交叉产品上的KMS状态

Pub Date : 2020-06-25 DOI:10.7146/math.scand.a-128965

J. Christensen, K. Thomsen

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引用次数: 1

摘要

我们给出了不动点代数满足一定正则性条件的流的KMS状态的一般描述。然后将其应用于离散群的叉积，特别是应用于离散阿贝尔群的叉乘积上的某些流，其中这些方法可以与阿贝尔自同构群的谱分析相结合。

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KMS states on crossed products by abelian groups

We provide a general description of the KMS states for flows whose fixed point algebra satisfies a certain regularity condition. This is then applied to crossed products by discrete groups, and in particular to certain flows on crossed products by discrete abelian groups where the methods can be combined with spectral analysis for abelian automorphism groups.

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