Spectral synthesis and masa-bimodules

Details Spectral synthesis and masa-bimodules Spectral synthesis and masa-bimodules

2002-02-18

arxiv.org/abs/math/0202170v1

Mathematics

Operator Algebras

16 pages

Scientific paper

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.

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