274 research outputs found
The strong K\"unneth theorem for topological periodic cyclic homology
Topological periodic cyclic homology (i.e., -Tate of ) has
the structure of a strong symmetric monoidal functor of smooth and proper dg
categories over a perfect field of finite characteristic
Algebraic K-theory and abstract homotopy theory
We decompose the K-theory space of a Waldhausen category in terms of its
Dwyer-Kan simplicial localization. This leads to a criterion for functors to
induce equivalences of K-theory spectra that generalizes and explains many of
the criteria appearing in the literature. We show that under mild hypotheses, a
weakly exact functor that induces an equivalence of homotopy categories induces
an equivalence of K-theory spectra.Comment: Final versio
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