New York Journal of Mathematics
Volume 27 (2021), 943-980


Damián Ferraro

Fixed-point algebras for weakly proper Fell bundles

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Published: July 6, 2021.
Keywords: Fell bundles, partial actions, proper actions, fixed-point algebras.
Subject: 46L55 (Primary), 46L99 (Secondary).

We define weakly proper Fell bundles and construct exotic fixed-point algebras for such bundles. Three alternative constructions of such algebras are given. Under a kind of freeness condition, one of our constructions implies that every exotic cross-sectional C*-algebra of a weakly proper Fell bundle is Morita equivalent to an exotic fixed-point algebra. The other constructions are used to show that ours generalizes that of Buss and Echterhoff on weakly proper actions on C*-algebras. We also generalize to Fell bundles the fact that every C*-action which is proper in Kasparov's sense is amenable.



Author information

Damián Ferraro:
Departamento de Matemática y Estadistica del Litoral
Universidad de la República
Rivera 1350, 50000, Salto, Uruguay