关于与穿孔平面上$\operatorname｛SL｝（2，\mathbb｛R｝）$的离散子群的作用相关的$C^*$-代数

IF 0.3 4区数学 Q4 MATHEMATICS Mathematica Scandinavica Pub Date : 2020-09-03 DOI:10.7146/math.scand.a-120288

J. Bassi

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引用次数: 0

摘要

确定了保证离散变换群C＊-代数稳定性的动力学条件。将结果应用于SL（2，R）的一些离散子群通过向量的矩阵乘法作用于删截平面上的情况。在共紧子群的情况下，从SL（2，R）的相应紧致齐次空间上与钟表圈流相关的C＊-代数的性质，推导出这种交积的进一步性质。

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On $C^*$-algebras associated to actions of discrete subgroups of $\operatorname{SL}(2,\mathbb{R})$ on the punctured plane

Dynamical conditions that guarantee stability for discrete transformation group C∗-algebras are determined. The results are applied to the case of some discrete subgroups of SL(2,R) acting on the punctured plane by means of matrix multiplication of vectors. In the case of cocompact subgroups, further properties of such crossed products are deduced from properties of the C∗-algebra associated to the horocycle flow on the corresponding compact homogeneous space of SL(2,R).

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.