Geodesic
On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 93-95

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We relate the convergence of a net of maximal Abelian selfadjoint algebras (masas) to that of the net of their corresponding supports. This is achieved by using a family of capacities on the collection of subsets of $X\times Y$ (where the masas are realized as collections of operators of multiplication by essentially bounded functions on the measure spaces $X$ and $Y$), which extends a capacity studied previously by Haydon and Shulman.
Keywords: capacity, maximal Abelian self-adjoint algebra.
Mots-clés : convergence, bimodule 
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     author = {J. L. Habgood and I. G. Todorov},
     title = {On the {Continuity} of the {Support} of {Bimodules} over {Maximal} {Abelian} {Self-Adjoint} {Algebras}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     volume = {42},
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J. L. Habgood; I. G. Todorov. On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 93-95. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a12/