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2001 Filtered topological cyclic homology and relative K–theory of nilpotent ideals
Morten Brun
Algebr. Geom. Topol. 1(1): 201-230 (2001). DOI: 10.2140/agt.2001.1.201

Abstract

In this paper certain filtrations of topological Hochschild homology and topological cyclic homology are examined. As an example we show how the filtration with respect to a nilpotent ideal gives rise to an analog of a theorem of Goodwillie saying that rationally relative K–theory and relative cyclic homology agree. Our variation says that the p–torsion parts agree in a range of degrees. We use it to compute Ki(pn) for ip3.

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Morten Brun. "Filtered topological cyclic homology and relative K–theory of nilpotent ideals." Algebr. Geom. Topol. 1 (1) 201 - 230, 2001. https://doi.org/10.2140/agt.2001.1.201

Information

Received: 17 October 2000; Revised: 16 March 2001; Accepted: 13 April 2001; Published: 2001
First available in Project Euclid: 21 December 2017

zbMATH: 0984.19001
MathSciNet: MR1823499
Digital Object Identifier: 10.2140/agt.2001.1.201

Subjects:
Primary: 19D55
Secondary: 19D50, 55P42

Rights: Copyright © 2001 Mathematical Sciences Publishers

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