Schur multipliers of Cartan pairs

R. H. Levene, N. Spronk, I. G. Todorov, L. Turowska

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Abstract

We define the Schur multipliers of a separable von Neumann algebra M with Cartan masa A, generalising the classical Schur multipliers of B(` 2 ). We characterise these as the normal A-bimodule maps on M. If M contains a direct summand isomorphic to the hyper- finite II1 factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product A ⊗eh A are strictly contained in the algebra of all Schur multipliers.
Original languageEnglish
Pages (from-to)413-440
Number of pages28
JournalProceedings of the Edinburgh Mathematical Society
Volume60
Issue number2
Early online date13 Jun 2016
DOIs
Publication statusPublished - 2017

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