Schur multipliers of Cartan pairs
Artikel i vetenskaplig tidskrift, 2017

We define the Schur multipliers of a separable von Neumann algebra M with Cartan maximal abelian self-adjoint algebra A, generalizing the classical Schur multipliers of B(2). We characterize 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 A⊗ehA are strictly contained in the algebra of all Schur multipliers.

Cartan MASA

bimodule map

Schur multiplier

Författare

Rupert Levene

University College Dublin

Nico Spronk

University of Waterloo

I. G. Todorov

Queen's University Belfast

Lyudmyla Turowska

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Proceedings of the Edinburgh Mathematical Society

0013-0915 (ISSN) 1464-3839 (eISSN)

Vol. 60 2 413-440

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1017/S0013091516000067