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Schur Multipliers of Cartan Pairs
Part of:
Selfadjoint operator algebras
Published online by Cambridge University Press: 13 June 2016
Abstract
We define the Schur multipliers of a separable von Neumann algebra with Cartan maximal abelian self-adjoint algebra , generalizing the classical Schur multipliers of (ℓ2). We characterize these as the normal -bimodule maps on . If contains a direct summand isomorphic to the hyperfinite II1 factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product ⊗eh are strictly contained in the algebra of all Schur multipliers.
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- Copyright © Edinburgh Mathematical Society 2017