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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

Helma Klüver
Chalbisauweg 7, 8816 Hirzel, Switzerland

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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