Morita Enveloping Fell Bundles

被引：9

作者：

Abadie, Fernando ^{[1
]}

Buss, Alcides ^{[2
]}

Ferraro, Damian ^{[3
]}

机构：

[1] Univ Republica, Fac Ciencias, Ctr Matemat, Igua 4225, Montevideo 11400, Uruguay

[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

[3] Univ Republ, Dept Matemat & Estadist Litoral, Rivera 1350, Salto 50000, Uruguay

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2019年 / 50卷 / 01期

关键词：

Fell bundle; Equivalence; Partial action; Crossed product; Group; Amenabilty; MACKEYS METHOD; EXTENSION;

D O I：

10.1007/s00574-018-0088-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional C-algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.

引用

页码：3 / 35

页数：33

共 22 条

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