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For questions about cyclic homology of associative algebras and related concepts.

10 votes
Accepted

Proofs that the classifying space of Connes' cycle category $\Lambda$ is $\mathbb C \mathbb ...

This statement appears as Corollary B.4 in Nikolaus-Scholze's On topological cyclic homology; essentially, $\Lambda$ is the quotient of the paracyclic category $\Lambda_\infty$ by a free $B\mathbb Z$- …
Bertram Arnold's user avatar
5 votes
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Morphisms of Hochschild (or cyclic) homology induced by homotopic maps

$\newcommand{\dd}{\mathrm d}\DeclareMathOperator{\Sym}{Sym}\DeclareMathOperator{\id}{id}$If $f,g:A\to B$ are dga morphisms which are homotopic as chain maps, the maps induced by $f$ and $g$ on Hochsch …
Bertram Arnold's user avatar