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