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arXiv · 1707.07862

Comparing cyclotomic structures on different models for topological Hochschild homology

Emanuele Dotto·Cary Malkiewich·Irakli Patchkoria·Steffen Sagave·Calvin Woo
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Abstract

The topological Hochschild homology $THH(A)$ of an orthogonal ring spectrum $A$ can be defined by evaluating the cyclic bar construction on $A$ or by applying Bökstedt's original definition of $THH$ to $A$. In this paper, we construct a chain of stable equivalences of cyclotomic spectra comparing these two models for $THH(A)$. This implies that the two versions of topological cyclic homology resulting from these variants of $THH(A)$ are equivalent.

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Emanuele Dotto, Cary Malkiewich, Irakli Patchkoria, Steffen Sagave, Calvin Woo. 2019-05-31. Comparing cyclotomic structures on different models for topological Hochschild homology. https://doi.org/10.1112/topo.12116

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