Convergence of bimodules over maximal abelian selfadjoint algebras

J.L. Habgood; Ivan Todorov

Convergence of bimodules over maximal abelian selfadjoint algebras

J.L. Habgood, Ivan Todorov

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a continuity result for the map sending a masa-bimodule 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 establish a lower-semicontinuity result for the map sending a support to the corresponding masa-bimodule.

Original language	English
Pages (from-to)	310-315
Number of pages	6
Journal	Journal of Operator Theory
Volume	63
Issue number	2
Publication status	Published - Mar 2010

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "Convergence of bimodules over maximal abelian selfadjoint algebras",

abstract = "We prove a continuity result for the map sending a masa-bimodule 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 establish a lower-semicontinuity result for the map sending a support to the corresponding masa-bimodule.",

author = "J.L. Habgood and Ivan Todorov",

year = "2010",

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pages = "310--315",

journal = "Journal of Operator Theory",

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T1 - Convergence of bimodules over maximal abelian selfadjoint algebras

AU - Habgood, J.L.

AU - Todorov, Ivan

PY - 2010/3

Y1 - 2010/3

N2 - We prove a continuity result for the map sending a masa-bimodule 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 establish a lower-semicontinuity result for the map sending a support to the corresponding masa-bimodule.

AB - We prove a continuity result for the map sending a masa-bimodule 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 establish a lower-semicontinuity result for the map sending a support to the corresponding masa-bimodule.

M3 - Article

SN - 0379-4024

VL - 63

SP - 310

EP - 315

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

Convergence of bimodules over maximal abelian selfadjoint algebras

Abstract

ASJC Scopus subject areas

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