On topological Hochschild homology of the $K(1)$-local sphere

Abstract

We compute topological Hochschild homology mod $p$ and $v_1$ of the connective cover of the $K(1)$-local sphere spectrum for all primes $p\ge 3$. This is accomplished using a May-type spectral sequence in topological Hochschild homology constructed from a filtration of a commutative ring spectrum.

30 pages. Final version accepted for publication in the Journal of Topology

References in corpus (2)

• The localization sequence for the algebraic K-theory of topological K-theory
• A May-type spectral sequence for higher topological Hochschild homology

Cited by in corpus (1)

• The topological Hochschild homology of algebraic $K$-theory of finite fields