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One-Parameter Continuous Fields of Kirchberg Algebras. II

Published online by Cambridge University Press:  20 November 2018

Marius Dadarlat ,
George A. Elliott  and
Zhuang Niu
Marius Dadarlat
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. email: mdd@math.purdue.edu
George A. Elliott
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 email: elliott@math.toronto.edu
Zhuang Niu
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, U.S.A. and Department of Mathematics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7 email: zniu@mun.ca
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Abstract

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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.

Keywords

46L35continuous fields of C*-algebrasK0-presheavesEffros-Handelman-Shen type theorem
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 3 , 01 June 2011 , pp. 500 - 532
Copyright
Copyright © Canadian Mathematical Society 2011

References

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