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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
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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