Spectral synthesis and masa-bimodules

2002/02/18 by Ivan G. Todorov, I. G. Todorov, Todorov, I. G.
Computer Science · Mathematics · #47L05 #47L35 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Rings, Modules, and Algebras #math.FA #math.OA #msc:47L05 #msc:47L35

paper · pdf · doi:10.48550/arxiv.math/0202170

16 pages

arxiv created 2002/02/18 · openalex publication_date 2002/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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