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Proceedings of the London Mathematical Society 2006 93(3):593-634; doi:10.1017/S0024611506015954
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© London Mathematical Society

Detecting K-Theory by Cyclic Homology

Wolfgang Lück and Holger Reich

Westfälische Wilhelms-Universität Münster, Mathematisches Institut Einsteinstrasse 62, D-48149 Münster, Germany lueck{at}math.uni-muenster.de, http://www.math.uni-muenster.de/u/lueck, reichh{at}math.uni-muenster.de, http://www.math.uni-muenster.de/u/reichh

Received 31 August 2005.

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. 2000 Mathematics Subject Classification 19D55.


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