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

9 votes
2 answers
503 views

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

Connes showed in Cohomologie cyclique et foncteurs $Ext^n$ (1983) that the classifying space of his cycle category $\Lambda$ is $\mathbb C \mathbb P^\infty = B(S^1) = K(\mathbb Z,2)$. Connes' proof is …
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4 votes
1 answer
247 views

On the initiality of the inclusion from the simplex category to the paracycle category

Thm B.3 of Nikolaus and Scholze shows that the natural inclusion $\Delta \to \Lambda_\infty$, from the simplex category to the paracycle category, is an initial functor, i.e. satisfies the hypotheses …
Tim Campion's user avatar
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