Schur multipliers of Cartan pairs

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

doi:10.1017/S0013091516000067

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 language	English
Pages (from-to)	413-440
Number of pages	28
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	60
Issue number	2
Early online date	13 Jun 2016
DOIs	https://doi.org/10.1017/S0013091516000067
Publication status	Published - 2017

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Schur multipliers of Cartan pairs
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Schur multipliers of Cartan pairs

Abstract

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