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Inducing primitive ideals
Author(s):
Siegfried
Echterhoff;
Dana
P.
Williams
Journal:
Trans. Amer. Math. Soc.
360
(2008),
6113-6129.
MSC (2000):
Primary 46L55, 46L05
Posted:
June 16, 2008
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Abstract:
We study conditions on a  -dynamical system  under which induction of primitive ideals (resp. irreducible representations) from stabilizers for the action of  on the primitive ideal space  give primitive ideals (resp. irreducible representations) of the crossed product  . The results build on earlier results of Sauvageot and others and will correct a (possibly overly optimistic) statement of the first author. In an appendix, the first author takes the opportunity to fill a gap in the proof of an earlier result.
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Additional Information:
Siegfried
Echterhoff
Affiliation:
Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, W-48149 Münster, Germany
Email:
echters@math.uni-muenster.de
Dana
P.
Williams
Affiliation:
Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755-3551
Email:
dana.williams@dartmouth.edu
DOI:
10.1090/S0002-9947-08-04499-1
PII:
S 0002-9947(08)04499-1
Received by editor(s):
October 25, 2005
Received by editor(s) in revised form:
February 12, 2007
Posted:
June 16, 2008
Additional Notes:
The authors were partly supported by the Ed Shapiro fund at Dartmouth College and the Deutsche Forschungsgemeinschaft (SFB 478)
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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