English

Spectral synthesis and masa-bimodules

Operator Algebras 2007-05-23 v1 Functional Analysis

Abstract

Generalizing a result of Arveson on finite width CSL algebras, we prove that finite width masa-bimodules satisfy spectral synthesis. Introducing a new class of masa-bimodules, we show that there exists a non-synthetic masa-bimodule, such that the maximal algebras over which it is a bimodule, are synthetic.

Keywords

Cite

@article{arxiv.math/0202170,
  title  = {Spectral synthesis and masa-bimodules},
  author = {I. G. Todorov},
  journal= {arXiv preprint arXiv:math/0202170},
  year   = {2007}
}

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16 pages