Journal of Operator Theory

Volume 63, Issue 2, Spring 2010 pp. 301-315.

Convergence of bimodules over maximal abelian selfadjoint algebras

Authors: J.L. Habgood (1) and I.G. Todorov (2)
Author institution:(1) Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
(2) Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom

Summary: We establish a continuity result for the map sending a masa-bimo\-dule to its support. We characterise the convergence of a net of weakly closed convex hulls of bilattices in terms of the convergence of the corresponding supports, and prove a lower-semicontinuity result for the map sending a support to the corresponding masa-bimodule.

Keywords: Masa-bimodule, support, bilattice, convergence

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