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arXiv · 1507.01756

Maximality of dual coactions on sectional C*-algebras of Fell bundles and applications

Alcides Buss·Siegfried Echterhoff
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Abstract

In this paper we give a simple proof of the maximality of dual coactions on full cross-sectional C*-algebras of Fell bundles over locally compact groups. As applications we extend certain exotic crossed-product functors in the sense of Baum, Guentner and Willett to the category of Fell bundles and the category of partial actions and we obtain results about the K-theory of (exotic) cross-sectional algebras of Fell-bundles over K-amenable groups. As a bonus, we give a characterisation of maximal coactions of discrete groups in terms of maximal tensor products.

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Alcides Buss, Siegfried Echterhoff. 2015-07-07. Maximality of dual coactions on sectional C*-algebras of Fell bundles and applications. https://arxiv.org/abs/1507.01756

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