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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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The Maximal C*-Algebra of Quotients as an Operator Bimodule
by
Martin Mathieu
Queen's University Belfast
Coauthors: Pere Ara (Barcelona), Eduard Ortega (Odense)

We establish a description of the maximal C*-algebra of quotients of a unital C*-algebra A as a direct limit of spaces of completely bounded bimodule homomorphisms from certain operator submodules of the Haagerup tensor product A⊗h A labelled by the essential closed right ideals of A into A. In addition the invariance of the construction of the maximal C*-algebra of quotients under Morita equivalence is proved.

Date received: April 17, 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-12.