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The cyclotomic trace for symmetric ring spectra
Christian Schlichtkrull
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Geometry & Topology Monographs 16
(2009) 545–592
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Abstract
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The purpose of this paper is to present a simple and explicit construction of the
Bökstedt–Hsiang–Madsen cyclotomic trace relating algebraic K–theory and
topological cyclic homology. Our construction also incorporates Goodwillie’s idea of a
global cyclotomic trace.
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Keywords
symmetric ring spectra, algebraic
K-theory, topological cyclic homology
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Mathematical Subject Classification
Primary: 19D55, 55P43
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Publication
Received: 15 December 2008
Revised: 27 May 2009
Accepted: 29 May 2009
Published: 4 July 2009
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