A note on the nuclear dimension of Cuntz-Pimsner C*-algebras associated with minimal shift spaces

被引：0

作者：

He, Zhuofeng ^{[1
]}

Wei, Sihan ^{[2
]}

机构：

[1] East China Normal Univ, Res Ctr Operator Algebras, Shanghai, Peoples R China

[2] East China Normal Univ, Sch Math & Sci, Shanghai, Peoples R China

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年 / 76卷 / 01期

关键词：

Cuntz-Pimsner algebras; nuclear dimension; minimal shift spaces; DYNAMICS;

D O I：

10.4153/S0008414X22000645

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every minimal one-sided shift space X over a finite alphabet, left special elements are those points in X having at least two preimages under the shift operation. In this paper, we show that the Cuntz-Pimsner C-*-algebra O-X has nuclear dimension 1 when X is minimal and the number of left special elements in X is finite. 'Ihis is done by describing concretely the cover of X, which also recovers an exact sequence, discovered before by Carlsen and Eilers.

引用

页码：104 / 125

页数：22

共 22 条

[1]

[Anonymous], 2004, Doc. Math.

[2]

Bates T, 2007, MATH SCAND, V100, P198

[3]

Berthe V., 2021, PREPRINT

[4]

Brix K., 2021, PREPRINT

[5]

Brix K. A., 2020, Trans. Amer. Math. Soc. Ser. B, V7, P134

[6]

Carlsen T., 2006, PREPRINT

[7]

Carlsen TM, 2004, MATH SCAND, V95, P145

[8]

Carlsen TM, 2003, J OPERAT THEOR, V49, P203

[9] Cuntz-Pimsner C*-algebras associated with subshifts [J].

Carlsen, Toke Meier .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2008, 19 (01) :47-70

[10] Toeplitz words, generalized periodicity and periodically iterated morphisms [J].

Cassaigne, J ;

Karhumaki, J .

EUROPEAN JOURNAL OF COMBINATORICS, 1997, 18 (05) :497-510

← 1 2 3 →