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# One-Parameter Continuous Fields of Kirchberg Algebras. II

Published:2011-01-17
Printed: Jun 2011
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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## Abstract

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
 MSC Classifications: 46L35 - Classifications of $C^*$-algebras