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arXiv · 1402.0721

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

M. Anoussis·A. Katavolos·I. G. Todorov
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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(L^2(G)) which are invariant under both Schur multipliers and a canonical action of M(G) on B(L^2(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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M. Anoussis, A. Katavolos, I. G. Todorov. 2014-07-12. Ideals of $A(G)$ and bimodules over maximal abelian selfadjoint algebras. https://doi.org/10.1016/j.jfa.2014.03.018

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