Topological Hochschild homology and the cyclic bar construction in symmetric spectra

Abstract

The cyclic bar construction in symmetric spectra and Bökstedt's original construction are two possible ways to define the topological Hochschild homology of a symmetric ring spectrum. In this short note we explain how to correct an error in Shipley's original comparison of these two approaches.

v2: 7 pages; exposition improved, accepted for publication in Proceedings of the AMS

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