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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Weakly proper group actions, Mansfield’s Imprimitivity and twisted Landstad duality
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by Alcides Buss and Siegfried Echterhoff PDF
Trans. Amer. Math. Soc. 368 (2016), 249-280 Request permission


Using the theory of weakly proper actions of locally compact groups recently developed by the authors, we give a unified proof of both reduced and maximal versions of Mansfield’s Imprimitivity Theorem and obtain a general version of Landstad’s Duality Theorem for twisted group coactions. As one application, we obtain the stabilization trick for arbitrary twisted coactions, showing that every twisted coaction is Morita equivalent to an inflated coaction.
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Additional Information
  • Alcides Buss
  • Affiliation: Departamento de Matemática, Universidade Federal de Santa Catarina, 88.040-900 Florianópolis-SC, Brazil
  • MR Author ID: 827256
  • ORCID: 0000-0001-6796-9818
  • Email:
  • Siegfried Echterhoff
  • Affiliation: Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149 Münster, Germany
  • MR Author ID: 266728
  • ORCID: 0000-0001-9443-6451
  • Email:
  • Received by editor(s): October 30, 2013
  • Published electronically: March 4, 2015
  • Additional Notes: This research was supported by Deutsche Forschungsgemeinschaft (SFB 878, Groups, Geometry & Actions) and by CNPq (Ciências sem Fronteira) – Brazil.
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 249-280
  • MSC (2010): Primary 46L55, 22D35
  • DOI:
  • MathSciNet review: 3413863