RKK(X)-nuclearity (after G. Skandalis)

被引：12

作者：

Bauval, A ^{[1
]}

机构：

[1] Univ Toulouse 3, UFR MIG, UMR CNRS 5580, Lab Emile Picard, F-31062 Toulouse, France

来源：

K-THEORY | 1998年 / 13卷 / 01期

关键词：

nuclearity; (continuous fields of) C*-algebras;

D O I：

10.1023/A:1007727426701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a notion of nuclearity for C(X) - C*-algebras yielding the same results of semi-exactness, for Kasparov's bifunctor RKK(X; -, -), as those obtained by Skandalis in the case X = .. We connect explicitly this new notion of nuclearity with those already known.

引用

页码：23 / 40

页数：18

共 20 条

[1]

[Anonymous], 1964, MATH SCAND, DOI [10.7146/math.scand.a-10738, DOI 10.7146/MATH.SCAND.A-10738]

[2] NOTES ON EXTENSIONS OF CSTAR-ALGEBRAS [J].

ARVESON, W .

DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) :329-355

[3]

BAAJ S, 1989, K-THEORY, V2, P683

[4] Deformations of Hopf C*-algebras [J].

Blanchard, E .

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1996, 124 (01) :141-215

[5] INJECTIVITY AND OPERATOR SPACES [J].

CHOI, MD ;

EFFROS, EG .

JOURNAL OF FUNCTIONAL ANALYSIS, 1977, 24 (02) :156-209

[6] SEPARABLE NUCLEAR C]-ALGEBRAS AND INJECTIVITY [J].

CHOI, MD ;

EFFROS, EG .

DUKE MATHEMATICAL JOURNAL, 1976, 43 (02) :309-322

[7] COMPLETELY POSITIVE LIFTING PROBLEM FOR C-STAR ALGEBRAS [J].

CHOI, MD ;

EFFROS, EG .

ANNALS OF MATHEMATICS, 1976, 104 (03) :585-609

[8] FACTORIZATION IN GROUP ALGEBRAS [J].

COHEN, PJ .

DUKE MATHEMATICAL JOURNAL, 1959, 26 (02) :199-205

[9]

CUNTZ J, 1986, J OPERAT THEOR, V15, P163

[10] TENSOR PRODUCTS OF OPERATOR ALGEBRAS [J].

EFFROS, EG ;

LANCE, EC .

ADVANCES IN MATHEMATICS, 1977, 25 (01) :1-34

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