Notes on AT-algebras and extensions of AT-algebras by K

被引：1

作者：

Yao, Hongliang ^{[1
,2
]}

Fang, Xiaochun ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210014, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2010年 / 42卷

基金：

中国国家自然科学基金;

关键词：

LIMITS;

D O I：

10.1112/blms/bdp124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

H. Lin and H. Su classified AT-algebras of real rank zero. An AT-algebra often becomes an extension of an AT-algebra by an AF-algebra. In this paper, we define a new invariant pi(A) of C*-algebra A by partial isometries and give a necessary condition on which a C*-algebra is an AT-algebra. We demonstrate that there is an essential extension of an AT-algebra with real rank zero by K which is not an AT-algebra.

引用

页码：275 / 281

页数：7

共 49 条

[21] REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS OF TYPE BN [J].

Brito, Matheus ;

Mukhin, Evgeny .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (04) :2775-2806

[22] CATEGORICAL CRITERION FOR EXISTENCE OF UNIVERSAL C*-ALGEBRAS [J].

Gumerov, R. N. ;

Lipacheva, E. V. ;

Shishkin, K. A. .

UFA MATHEMATICAL JOURNAL, 2024, 16 (03) :118-129

[23] HOCHSCHILD COHOMOLOGY OF TENSOR PRODUCTS OF TOPOLOGICAL ALGEBRAS [J].

Lykova, Zinaida A. .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 :447-470

[24] CATEGORY OF M-ALGEBRAS AND INTERNAL HOMOMORPHISMS [J].

Ebrahimi, M. M. ;

Mahmoudi, M. .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2010, 3 (02) :307-322

[25] Limits in the category Seg of Segal topological algebras [J].

Abel, Mart .

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2022, 71 (02) :203-211

[26] On the augmentation topology of automorphism groups of affine spaces and algebras [J].

Kanel-Belov, Alexei ;

Yu, Jie-Tai ;

Elishev, Andrey .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2018, 28 (08) :1449-1485

[27] THE CLASSIFICATION OF REAL PURELY INFINITE SIMPLE C*-ALGEBRAS [J].

Boersema, Jeffrey L. ;

Ruiz, Efren ;

Stacey, P. J. .

DOCUMENTA MATHEMATICA, 2011, 16 :619-655

[28] Infinite dimensional representations of finite dimensional algebras and amenability [J].

Elek, Gabor .

MATHEMATISCHE ANNALEN, 2017, 369 (1-2) :397-439

[29] The graded Grothendieck group and the classification of Leavitt path algebras [J].

Hazrat, R. .

MATHEMATISCHE ANNALEN, 2013, 355 (01) :273-325

[30] Cones of traces arising from AF C *-algebras [J].

Moodie, Mark ;

Robert, Leonel .

DOCUMENTA MATHEMATICA, 2023, 28 :1279-1321

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