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One-Parameter Continuous Fields of Kirchberg Algebras. II

Open Access article
 Printed: Jun 2011
  • Marius Dadarlat,
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A
  • George A. Elliott,
    Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4
  • Zhuang Niu,
    Department of Mathematics, Memorial University of Newfoundland, St. John's, NS7
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Parallel to the first two authors' earlier classification of separable, unita one-parameter, continuous fields of Kirchberg algebras with torsion free $\mathrm{K}$-groups supported in one dimension, one-parameter, separable, uni continuous fields of AF-algebras are classified by their ordered $\mathrm{K}_0$-sheaves. Effros-Handelman-Shen type theorems are pr separable unital one-parameter continuous fields of AF-algebras and Kirchberg algebras.
Keywords: continuous fields of C$^*$-algebras, $\mathrm{K}_0$-presheaves, Effros--Handeen type theorem continuous fields of C$^*$-algebras, $\mathrm{K}_0$-presheaves, Effros--Handeen type theorem
MSC Classifications: 46L35 show english descriptions Classifications of $C^*$-algebras 46L35 - Classifications of $C^*$-algebras

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