Ideals of $A(G)$ and bimodules over maximal abelian selfadjoint algebras
Operator Algebras
2014-07-15 v2
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.
Keywords
Cite
@article{arxiv.1402.0721,
title = {Ideals of $A(G)$ and bimodules over maximal abelian selfadjoint algebras},
author = {M. Anoussis and A. Katavolos and I. G. Todorov},
journal= {arXiv preprint arXiv:1402.0721},
year = {2014}
}
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