Proposition 10.2 (0NQW) · ScalingStacks

Proposition 10.2. $THH$ is a localizing invariant of small stable $\infty$ -categories.

Proof. The cyclic bar construction commutes with filtered homotopy colimits of spectral categories. Furthermore, $THH(-)$ takes exact sequences of spectral categories to exact sequences of spectra [10, 7.1]. Therefore, the induced functor on $\infty$ -categories is a localizing invariant. ∎

Andrew J. Blumberg, David Gepner, Goncalo Tabuada

Original source: arXiv:1001.2282v4

Metadata needs review: Citation author information differs from source metadata · Review queue