Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism

被引：0

作者：

Thomsen, Klaus ^{[1
]}

机构：

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

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2012年 / 64卷 / 03期

关键词：

purely infinite C*-algebras; crossed products; C-ASTERISK-ALGEBRAS; CONNES-SPECTRUM; GROUPOIDS;

D O I：

10.4153/CJM-2011-081-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that simplicity of the crossed product of a unital AH-algebra with slow dimension growth by an endomorphism implies that the algebra is also purely infinite, provided only that the endomorphism leaves no trace state invariant and takes the unit to a full projection.

引用

页码：705 / 720

页数：16

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