Logarithmic topological Hochschild homology of topological K-theory spectra

Abstract

In this paper we continue our study of logarithmic topological Hochschild homology. We show that the inclusion of the connective Adams summand into the p-local complex connective K-theory spectrum, equipped with suitable log structures, is a formally log THH-etale map, and compute the V(1)-homotopy of their logarithmic topological Hochschild homology spectra. As an application, we recover Ausoni's computation of the V(1)-homotopy of the ordinary THH of ku.

v3: 32 pages; slightly revised. Accepted for publication in J. Eur. Math. Soc. (JEMS)

References in corpus (1)

• Localization sequences for logarithmic topological Hochschild homology

Cited by in corpus (5)

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