Abstract
Given a monoidal model category and an object in , Hovey constructed the monoidal model category of –symmetric spectra over . In this paper we describe how to lift a model structure on the category of –enriched categories to the category of –enriched categories. This allow us to construct a (four step) zig-zag of Quillen equivalences comparing dg categories to –categories. As an application we obtain: (1) the invariance under weak equivalences of the topological Hochschild homology (THH) and topological cyclic homology (TC) of dg categories; (2) non-trivial natural transformations from algebraic –theory to THH.
Citation
Gonçalo Tabuada. "Generalized spectral categories, topological Hochschild homology and trace maps." Algebr. Geom. Topol. 10 (1) 137 - 213, 2010. https://doi.org/10.2140/agt.2010.10.137
Information