Topological Hochschild homology and the cyclic bar construction in symmetric spectra

Patchkoria, Irakli; Sagave, Steffen

doi:10.1090/proc/13037

Topological Hochschild homology and the cyclic bar construction in symmetric spectra
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by Irakli Patchkoria and Steffen Sagave PDF

Proc. Amer. Math. Soc. 144 (2016), 4099-4106 Request permission

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.

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