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TOPOLOGICAL HOCHSCHILD HOMOLOGY

Published online by Cambridge University Press:  08 January 2001

R. SCHWÄNZL ,
R. M. VOGT  and
F. WALDHAUSEN
R. SCHWÄNZL
Affiliation:
Fachbereich Mathematik/Informatik, Universität Osnabrück, D-49069 Osnabrück, Germany
R. M. VOGT
Affiliation:
Fachbereich Mathematik/Informatik, Universität Osnabrück, D-49069 Osnabrück, Germany
F. WALDHAUSEN
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
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Abstract

In the appendix to [20] Waldhausen discussed a trace map tr:K(R)&→HH(R), from the algebraic K-theory of a ring to its Hochschild homology, which can be used to obtain information about K(R) from HH(R). In [1] Bökstedt described a factorization of this trace map. The intermediate functor THH(HR) is called the topological Hochschild homology of the Eilenberg–MacLane spectrum HR associated with R, because it is constructed similarly to Hochschild homology with the tensor product replaced by the smash product of spectra.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 345 - 356
Copyright
The London Mathematical Society 2000

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