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Schur Multipliers of Cartan Pairs

  • R. H. Levene (a1), N. Spronk (a2), I. G. Todorov (a3) and L. Turowska (a4)
Abstract
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 ( 2). 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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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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