Abstract view
OneParameter Continuous Fields of Kirchberg Algebras. II


Published:20110117
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
Abstract
Parallel to the first two authors' earlier classification of separable, unita
oneparameter, continuous fields of Kirchberg algebras with torsion free
$\mathrm{K}$groups supported in one dimension, oneparameter, separable, uni
continuous fields of AFalgebras are classified by their ordered
$\mathrm{K}_0$sheaves. EffrosHandelmanShen type theorems are pr separable
unital oneparameter continuous fields of AFalgebras and Kirchberg algebras.