Comparing cyclotomic structures on different models for topological Hochschild homology
Algebraic Topology
2019-06-20 v2 K-Theory and Homology
Abstract
The topological Hochschild homology of an orthogonal ring spectrum can be defined by evaluating the cyclic bar construction on or by applying B\"okstedt's original definition of to . In this paper, we construct a chain of stable equivalences of cyclotomic spectra comparing these two models for . This implies that the two versions of topological cyclic homology resulting from these variants of are equivalent.
Cite
@article{arxiv.1707.07862,
title = {Comparing cyclotomic structures on different models for topological Hochschild homology},
author = {Emanuele Dotto and Cary Malkiewich and Irakli Patchkoria and Steffen Sagave and Calvin Woo},
journal= {arXiv preprint arXiv:1707.07862},
year = {2019}
}
Comments
v2: 26 pages, exposition improved. Accepted for publication by the Journal of Topology