Schur multipliers of Cartan pairs
Operator Algebras
2018-08-22 v1
Abstract
We define the Schur multipliers of a separable von Neumann algebra M with Cartan masa A, generalising the classical Schur multipliers of . We characterise these as the normal A-bimodule maps on M. If M contains a direct summand isomorphic to the hyperfinite II_1 factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product are strictly contained in the algebra of all Schur multipliers.
Keywords
Cite
@article{arxiv.1409.2649,
title = {Schur multipliers of Cartan pairs},
author = {Rupert H. Levene and Nico Spronk and Ivan G. Todorov and Lyudmila Turowska},
journal= {arXiv preprint arXiv:1409.2649},
year = {2018}
}