A CHARACTERIZATION OF SEMIPROJECTIVITY FOR SUBHOMOGENEOUS C*-ALGEBRAS

被引：0

作者：

Enders, Dominic ^{[1
]}

机构：

[1] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark

来源：

DOCUMENTA MATHEMATICA | 2016年 / 21卷

基金：

新加坡国家研究基金会;

关键词：

C*-algebras; semiprojectivity; subhomogeneous; quantum permutation algebras; NORMAL OPERATORS; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study semiprojective, subhomogeneous C*-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous C*-algebras: one in terms of their primitive ideal spaces and one by means of special direct limit structures over one-dimensional NCCW complexes. These results are obtained by working out several new permanence results for semiprojectivity, including a complete description of its behavior with respect to extensions by homogeneous C*-algebras.

引用

页码：987 / 1050

页数：64

共 38 条

[1]

[Anonymous], 1977, C ALGEBRAS

[2]

[Anonymous], 1993, K THEORY C ALGEBRAS, DOI DOI 10.1112/BLMS/27.2.196

[3]

Aubin JP., 1990, SET VALUED ANAL

[4] Integration over the Pauli quantum group [J].

Banica, Teodor ;

Collins, Benoit .

JOURNAL OF GEOMETRY AND PHYSICS, 2008, 58 (08) :942-961

[5] SUBNORMAL WEIGHTED SHIFTS AND ASYMPTOTIC PROPERTIES OF NORMAL OPERATORS [J].

BASTIAN, JJ ;

HARRISON, KJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (02) :475-479

[6] PARTITIONING A SET [J].

BING, RH .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (12) :1101-1110

[7] SHAPE-THEORY FOR C-STAR-ALGEBRAS [J].

BLACKADAR, B .

MATHEMATICA SCANDINAVICA, 1985, 56 (02) :249-275

[8]

Blackadar B., 2012, MATHOA12071909V3 ARX

[9]

Blackadar B., 2004, ADV STUD PURE MATH, V38, P1

[10]

Blackadar B., 2006, Operator algebras: theory of C*-algebras and von Neumann algebras

← 1 2 3 4 →