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36th Canadian Operator Symposium(COSy)
May 20-24, 2008
The Fields Institute
University of Toronto, Ontario, Canada

Organizers
Man-Duen Choi, George Elliott, Raphael Ponge, Andrew Toms

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Nonseparable UHF algebras
by
Ilijas Farah
York University
Coauthors: Takeshi Katsura

Separable UHF algebras were classified in the 1960s by Glimm and Dixmier. Dixmier asked whether three standard definitions of UHF algebras are equivalent in the nonseparable unital case. We answer this question and prove some results (both positive and negative) about the structure of general nonseparable C* algebras.

Date received: May 13, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawx-31.