Journal of Lie Theory 22 (2012), No. 3, 601--645
Copyright Heldermann Verlag 2012
A General Kirillov Theory for Locally Compact Nilpotent Groups
Siegfried Echterhoff
Mathematisches Institut, University of Münster, Einsteinstr. 62, 48149 Münster, Germany
echters@uni-muenster.de
Helma Klüver
Chalbisauweg 7, 8816 Hirzel, Switzerland
Helma_Kluever@gmx.de
We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view on many known examples from the literature.
Keywords: Kirillov's orbit method, nilpotent groups, C*-group algebra, primitive ideals.
MSC: 22D10, 22D25, 43A65
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