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DETECTING $K$-THEORY BY CYCLIC HOMOLOGY

Published online by Cambridge University Press:  13 October 2006

WOLFGANG LÜCK  and
HOLGER REICH
WOLFGANG LÜCK
Affiliation:
Westfälische Wilhelms-Universität Münster, Mathematisches Institut, Einsteinstrasse 62, D-48149 Münster, Germanylueck@math.uni-muenster.de, http://www.math.uni-muenster.de/u/lueck, reichh@math.uni-muenster.de, http://www.math.uni-muenster.de/u/reichh
HOLGER REICH
Affiliation:
Westfälische Wilhelms-Universität Münster, Mathematisches Institut, Einsteinstrasse 62, D-48149 Münster, Germanylueck@math.uni-muenster.de, http://www.math.uni-muenster.de/u/lueck, reichh@math.uni-muenster.de, http://www.math.uni-muenster.de/u/reichh
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Abstract

We discuss which part of the rationalized algebraic $K$-theory of a group ring is detected via trace maps to Hochschild homology, cyclic homology, periodic cyclic or negative cyclic homology.

Keywords

19D55

Information

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 93 , Issue 3 , November 2006 , pp. 593 - 634
Copyright
2006 London Mathematical Society

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