TWISTED TOPOLOGICAL GRAPH ALGEBRAS

被引：0

作者：

Li, Hui ^{[1
]}

机构：

[1] East China Normal Univ, Res Ctr Operator Algebras, Dept Math, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2017年 / 43卷 / 02期

关键词：

C*-algebra; C*-correspondence; topological graph; sheaf cohomology; Cuntz-Pimsner algebra; C-ASTERISK-ALGEBRAS; CUNTZ-KRIEGER ALGEBRAS; GROUPOIDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the notion of a twisted topological graph algebra associated to a topological graph and a 1-cocycle on its edge set. We prove a stronger version of a Vasselli's result. We expand Katsura's results to study twisted topological graph algebras. We prove a version of the Cuntz-Krieger uniqueness theorem, describe the gauge-invariant ideal structure. We find that a twisted topological graph algebra is simple if and only if the corresponding untwisted one is simple.

引用

页码：459 / 494

页数：36

共 50 条

[21] GRADED C*-ALGEBRAS, GRADED K-THEORY, AND TWISTED P-GRAPH C*-ALGEBRAS
Kumjian, Alex
Pask, David
Sims, Aidan
JOURNAL OF OPERATOR THEORY, 2018, 80 (02) : 295 - 348
[22] Twisted algebras of geometric algebras
Matsuno, Masaki
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2023, 66 (03): : 715 - 730
[23] On the K-theory of twisted higher-rank-graph C*-algebras
Kumjian, Alex
Pask, David
Sims, Aidan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) : 104 - 113
[24] Topological entropy for the canonical completely positive maps on graph C*-algebras
Jeong, JA
Park, GH
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 70 (01) : 101 - 116
[25] Topological entropy in C*-algebras associated with lambda-graph systems
Matsumoto, K
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2005, 25 : 1935 - 1950
[26] Real Rank and Topological Dimension of Higher-Rank Graph Algebras
Pask, David
Sierakowski, Adam
Sims, Aidan
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2017, 66 (06) : 2137 - 2168
[27] UNIQUENESS THEOREMS FOR TOPOLOGICAL HIGHER-RANK GRAPH C*-ALGEBRAS
Renault, Jean
Sims, Aidan
Williams, Dana P.
Yeend, Trent
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (02) : 669 - 684
[28] Twisted Hopf algebras
Pu, Z
Li, LB
REPRESENTATIONS OF ALGEBRAS, PROCEEDINGS, 2002, 224 : 269 - 282
[29] TWISTED HOPF ALGEBRAS
RUCHTI, R
COMMENTARII MATHEMATICI HELVETICI, 1979, 54 (04) : 659 - 682
[30] Twisted Semigroup Algebras
L. Rigal
P. Zadunaisky
Algebras and Representation Theory, 2015, 18 : 1155 - 1186

← 1 2 3 4 5 →