fall束及其C*-代数的等价和分解定理

IF 1.5 3区数学 Q1 MATHEMATICS Dissertationes Mathematicae Pub Date : 2008-06-01 DOI:10.4064/DM456-0-1

P. Muhly, Dana P. Williams

引用次数: 66

摘要

研究了Fell束的C*-代数。特别地，我们证明了群类群的雷诺分解定理的类似。在类群的情况下，这个结果是证明Fell束的C*-代数的深度等价定理的关键步骤。

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Equivalence and disintegration theorems for Fell bundles and their C*-algebras

We study the C*-algebras of Fell bundles. In particular, we prove the analogue of Renault's disintegration theorem for groupoids. As in the groupoid case, this result is the key step in proving a deep equivalence theorem for the C*-algebras of Fell bundles.

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来源期刊

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.

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