ON THE KK-THEORY OF ELLIOTT-THOMSEN ALGEBRAS

被引：5

作者：

An, Qingnan ^{[1
]}

Elliott, George A. ^{[2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

JOURNAL OF OPERATOR THEORY | 2017年 / 78卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Elliott-Thomsen algebra; KK-theory; KK-lifting; mod-p K-theory; C-ASTERISK-ALGEBRAS; CLASSIFICATION; EQUIVALENCE;

D O I：

10.7900/jot.2016oct03.2155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the KK-theory of the class C of Elliott - Thomsen algebras, with special emphasis on the problem of when a KK-element can be represented by a homomorphism between two such C*-algebras (allowing the tensor product with a matrix algebra for the codomain algebra), and gives an existence theorem for a certain subclass of C which we denote by C-O.

引用

页码：435 / 472

页数：38

共 18 条

[1] K-HOMOLOGY, ASYMPTOTIC REPRESENTATIONS, AND UNSUSPENDED E-THEORY [J].

DADARLAT, M ;

LORING, TA .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 126 (02) :367-383

[2] A universal multicoefficient theorem for the Kasparov groups [J].

Dadarlat, M ;

Loring, TA .

DUKE MATHEMATICAL JOURNAL, 1996, 84 (02) :355-377

[3] A classification result for approximately homogeneous C*-algebras of real rank zero [J].

Dadarlat, M ;

Gong, G .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 1997, 7 (04) :646-711

[4] Classifying C*-algebras via ordered, mod-p K-theory [J].

Dadarlat, M ;

Loring, TA .

MATHEMATISCHE ANNALEN, 1996, 305 (04) :601-616

[5] A complete invariant for AD algebras with real rank zero and bounded torsion in K-1 [J].

Eilers, S .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 139 (02) :325-348

[6] Fragility of subhomogeneous C*-algebras with one-dimensional spectrum [J].

Eilers, S ;

Loring, TA ;

Pedersen, GK .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 :337-344

[7]

Elliott G.A., 1998, OPERATOR ALGEBRAS TH, V20, P73

[8]

Elliott G.A., 1945, CANADIAN MATH SOC, V3, P61

[9] THE STATE-SPACE OF THE K(0)-GROUP OF A SIMPLE SEPARABLE C-ASTERISK-ALGEBRA [J].

ELLIOTT, GA ;

THOMSEN, K .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 1994, 4 (05) :522-538

[10] ON THE CLASSIFICATION OF C-ASTERISK-ALGEBRAS OF REAL RANK ZERO [J].

ELLIOTT, GA .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1993, 443 :179-219

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