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International Journal of Mathematics and Mathematical Sciences

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Volume 31 |Article ID 371261 | https://doi.org/10.1155/S0161171202012917

N. E. Livingston, "A class of simple tracially AF C*-algebras", International Journal of Mathematics and Mathematical Sciences, vol. 31, Article ID 371261, 12 pages, 2002. https://doi.org/10.1155/S0161171202012917

A class of simple tracially AF C*-algebras

N. E. Livingston1

1Department of Mathematics, University of Oregon, USA

Received23 Apr 2001
Revised23 Jan 2002

Abstract

The concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. We give a numerical condition which, when satisfied, ensures that the corresponding algebra in our construction has the TAF property. We further give a necessary and sufficient condition under which certain of these C*-algebras are TAF.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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