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Integrability of dual coactions on Fell bundle C*-algebras

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Abstract

We study integrability for coactions of locally compact groups. For abelian groups, this corresponds to integrability of the associated action of the Pontrjagin dual group. The theory of integrable group actions has been previously studied by Ruy Exel, Ralf Meyer and Marc Rieffel. Our goal is to study the close relationship between integrable group coactions and Fell bundles. As a main result, we prove that dual coactions on C*-algebras of Fell bundles are integrable, generalizing results by Ruy Exel for abelian groups.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, SC, Brazil

    Alcides Buss

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  1. Alcides Buss
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Correspondence to Alcides Buss.

Additional information

This work is based on the author’s doctoral dissertation under the supervision of Ralf Meyer and Siegfried Echterhoff.

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Buss, A. Integrability of dual coactions on Fell bundle C*-algebras. Bull Braz Math Soc, New Series 41, 607–641 (2010). https://doi.org/10.1007/s00574-010-0028-6

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