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1
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Integral transform on noncommutative spaces
I am not an expert of this area and I put it as an answer rahter than a comment just because it's too long.
I think an important work on this topic is "The homotopy theory of dg-categories and deriv …
2
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How to understand $\mathcal{L}BG \simeq G/^{\text{ad}}G$ in term of simplicial sets?
First let $G$ be a topological group and $BG$ its classifying space. Let $\mathcal{L}BG=\text{Map}(S^1, BG)$ be the free loop space of $BG$.
We can see that $\mathcal{L}BG$ has the homotopy type of …