Geodesic
One-Parameter Continuous Fields of Kirchberg Algebras. II
Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 500-532

Voir la notice de l'article provenant de la source Cambridge University Press

Parallel to the first two authors’ earlier classification of separable, unital, one-parameter, continuous fields of Kirchberg algebras with torsion free $\text{K}$ -groups supported in one dimension, one-parameter, separable, unital, continuous fields of $\text{AF}$ -algebras are classified by their ordered ${{\text{K}}_{0}}$ -sheaves. Effros-Handelman-Shen type theorems are proved for separable unital one-parameter continuous fields of $\text{AF}$ -algebras and Kirchberg algebras.
DOI : 10.4153/CJM-2011-001-6
Mots-clés : 46L35, continuous fields of C*-algebras, K0-presheaves, Effros-Handelman-Shen type theorem 
Dadarlat, Marius; Elliott, George A.; Niu, Zhuang. One-Parameter Continuous Fields of Kirchberg Algebras. II. Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 500-532. doi: 10.4153/CJM-2011-001-6
@article{10_4153_CJM_2011_001_6,
     author = {Dadarlat, Marius and Elliott, George A. and Niu, Zhuang},
     title = {One-Parameter {Continuous} {Fields} of {Kirchberg} {Algebras.} {II}},
     journal = {Canadian journal of mathematics},
     pages = {500--532},
     year = {2011},
     volume = {63},
     number = {3},
     doi = {10.4153/CJM-2011-001-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-001-6/}
}
TY  - JOUR
AU  - Dadarlat, Marius
AU  - Elliott, George A.
AU  - Niu, Zhuang
TI  - One-Parameter Continuous Fields of Kirchberg Algebras. II
JO  - Canadian journal of mathematics
PY  - 2011
SP  - 500
EP  - 532
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-001-6/
DO  - 10.4153/CJM-2011-001-6
ID  - 10_4153_CJM_2011_001_6
ER  - 
%0 Journal Article
%A Dadarlat, Marius
%A Elliott, George A.
%A Niu, Zhuang
%T One-Parameter Continuous Fields of Kirchberg Algebras. II
%J Canadian journal of mathematics
%D 2011
%P 500-532
%V 63
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-001-6/
%R 10.4153/CJM-2011-001-6
%F 10_4153_CJM_2011_001_6

[1] [1] Blanchard, E. and Kirchberg, E., Global Glimm halving for C¤-bundles. J. Operator Theory 52(2004), no. 2, 385–420. Google Scholar

[2] [2] Dadarlat, M. and Elliott, G. A., One-parameter continuous fields of Kirchberg algebras. Comm. Math. Phys. 274(2007), no. 3, 795–819. doi: 10.1007/s00220-007-0298-z Google Scholar

[3] [3] Dixmier, J., C¤-algebras. North-Holland Mathematical Library, 15, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Google Scholar

[4] [4] Elliott, G. A. and Rørdam, M., Classification of certain infinite simple C¤-algebras. II. Comment. Math. Helv. 70(1995), no. 4, 615–638. doi: 10.1007/BF02566025 Google Scholar

[5] [5] Loring, T. A., Lifting solutions to perturbing problems in C¤-algebras. Fields Institute Monographs, 8, American Mathematical Society, Providence, RI, 1997. Google Scholar

[6] [6] Nagy, G., Some remarks on lifting invertible elements from quotient C¤-algebras. J. Operator Theory 21(1989), no. 2, 379–386. Google Scholar

[7] [7] Rørdam, M., Larsen, F., and Laustsen, N. J., An introduction to K-Theory for C¤-algebras. London Mathematical Society Student Texts, 49, Cambridge University Press, Cambridge, 2000. Google Scholar

[8] [8] Shen, C.-L., On the classification of the ordered groups associated with the approximately finite-dimensional C¤-algebras. Duke Math. J. 46(1979), no. 3, 613–633. doi: 10.1215/S0012-7094-79-04632-5 Google Scholar

[9] [9] Su, H., On the classification of C¤-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs. Mem. Amer. Math. Soc. 114(1995), no. 547. Google Scholar

[10] [10] Tomiyama, J. and Takesaki, M., Applications of fibre bundles to the certain class of C¤-algebras. Tôhoku Math. J. 13(1961), 498–522. doi: 10.2748/tmj/1178244253 Google Scholar

Cité par Sources :