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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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Connected MASAs in UHF algebras
by
N. Christopher Phillips
University of Oregon, Eugene
Coauthors: Simon Wassermann

It has been an open question for some time whether there is a maximal abelian subalgebra in a UHF algebra which is isomorphic to C (X) for a connected space X. In this talk, we describe a method for producing uncountably many mutually nonconjugate maximal abelian subalgebras in the CAR algebra (the 2^ UHF algebra), each isomorphic to C ([0, 1]).

This is joint work with Simon Wassermann.

Date received: May 12, 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-29.