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Bökstedt periodicity and quotients of DVRs

Krause A, Nikolaus T

Research article in digital collection | Preprint | Peer reviewed

Abstract

In this note we compute the topological Hochschild homology of quotients of DVRs. Along the way we give a short argument for Bökstedt periodicity and generalizations over various other bases. Our strategy also gives a very efficient way to redo the computations of THH (resp. logarithmic THH) of complete DVRs originally due to Lindenstrauss-Madsen (resp. Hesselholt-Madsen).

Details about the publication

Name of the repository: arxiv.org
Article number: 1907.03477
Status: Published
Release year: 2019
Language in which the publication is written: English
DOI: 10.48550/ARXIV.1907.03477
Link to the full text: https://www.uni-muenster.de/IVV5WS/WebHop/user/nikolaus/Papers/boekstedt.pdf
Keywords: Algebraic Topology (math.AT), K-Theory and Homology (math.KT), FOS: Mathematics, FOS: Mathematics

Authors from the University of Münster

Krause, Achim
Professorship for theoretical mathematics (Prof. Nikolaus)
Nikolaus, Thomas
Professorship for theoretical mathematics (Prof. Nikolaus)