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5 votes
1 answer
474 views

Defining Hochschild homology of non-commutative DG-algebras with animated rings with a circle action

A cool construction of Hochschild homology (that I saw on B. Antieau's website here ) is the following: Let $k$ be a commutative ring, then denote by $\mathfrak{a}\text{CAlg}_k$ the category of ...
curious math guy's user avatar
2 votes
0 answers
117 views

Spaces in the spectrum THH(R)

Let $R$ be a ring spectrum. Then we can form the topological Hochschild Homology of $R$ as the spectrum $$THH(R) = R \otimes S^1 \simeq R \wedge _{R \wedge R^{op}} R.$$ What is known about the spaces ...
categorically_stupid's user avatar