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For questions about Hochschild homology of associative algebras and related concepts.
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Tor functor in the case of algebra of smooth functions
Let $A=C^{\infty}(\mathbb{S}^{1})$, let $B$ be the sub-algebra $C^{\infty}(0,1)$. Here we identify $\mathbb{S}^{1}$ by $\mathbb{R}/2\pi \mathbb{Z}$. I want to ask if there is a way I can decompose $A$ …
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Hochschild Homology and Formal Geometry
I do not really know the six-functor proof. I assume you are talking about the paper by Wodzicki. The paper is rather dense and the proof is purely technical.
If you prefer, you may start with by lo …