Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras

M. Anoussis; A. Katavolos; I.G. Todorov

doi:10.1016/j.jfa.2014.03.018

Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras

M. Anoussis
, A. Katavolos
, I.G. Todorov

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

236 Downloads (Pure)

Abstract

This paper is concerned with weak⁎ closed masa-bimodules generated by A(G)-invariant subspaces of VN(G). An annihilator formula is established, which is used to characterise the weak⁎ closed subspaces of B(L2(G)) which are invariant under both Schur multipliers and a canonical action of M(G) on B(L2(G)) via completely bounded maps. We study the special cases of extremal ideals with a given null set and, for a large class of groups, we establish a link between relative spectral synthesis and relative operator synthesis.

Original language	English
Pages (from-to)	6473–6500
Journal	Journal of Functional Analysis
Volume	266
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2014.03.018
Publication status	Published - 01 Jun 2014

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10.1016/j.jfa.2014.03.018

Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras
This is the author’s version of a work that was accepted for publication in Journal of Functional Analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Functional Analysis, vol 266, issue 11, June 2014, doi:10.1016/j.jfa.2014.03.018.
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Cite this

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AU - Todorov, I.G.

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AB - This paper is concerned with weak⁎ closed masa-bimodules generated by A(G)-invariant subspaces of VN(G). An annihilator formula is established, which is used to characterise the weak⁎ closed subspaces of B(L2(G)) which are invariant under both Schur multipliers and a canonical action of M(G) on B(L2(G)) via completely bounded maps. We study the special cases of extremal ideals with a given null set and, for a large class of groups, we establish a link between relative spectral synthesis and relative operator synthesis.

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ER -

Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras

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