On the C*-Algebra of a Locally Injective Surjection and its KMS States

被引：11

作者：

Thomsen, Klaus ^{[1
]}

机构：

[1] Inst Matemat Fag, DK-8000 Aarhus C, Denmark

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 302卷 / 02期

关键词：

CROSSED-PRODUCTS; ENTROPY; GROUPOIDS;

D O I：

10.1007/s00220-010-1168-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that a locally injective surjection on a compact metric space is a factor of a local homeomorphism in such a way that the associated C*-algebras are isomorphic. This is subsequently used to obtain upper and lower bounds for the possible beta-values of KMS-states for generalized gauge actions on the C*-algebra.

引用

页码：403 / 423

页数：21

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