Fell bundles and imprimitivity theorems

Our goal in this paper and two sequels is to apply the Yamagami–Muhly–Williams equivalence theorem for Fell bundles over groupoids to recover and extend all known imprimitivity theorems involving groups. Here we extend Raeburn’s symmetric imprimitivity theorem, and also, in an appendix, we develop a...

Verfasser: Kaliszewski, S.
Muhly, Paul S.
Quiggin, John C.
Williams, Dana P.
FB/Einrichtung:FB 10: Mathematik und Informatik
Dokumenttypen:Artikel
Erscheinungsdatum:2013
Publikation in MIAMI:05.05.2014
Datum der letzten Änderung:30.09.2022
Quelle:Münster Journal of Mathematics, 6 (2013), S. 53-83
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-25319580789
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-25319580789
Onlinezugriff:MJM_2013_6_53-83.pdf

Our goal in this paper and two sequels is to apply the Yamagami–Muhly–Williams equivalence theorem for Fell bundles over groupoids to recover and extend all known imprimitivity theorems involving groups. Here we extend Raeburn’s symmetric imprimitivity theorem, and also, in an appendix, we develop a number of tools for the theory of Fell bundles that have not previously appeared in the literature.