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Tagged with higher-algebra hochschild-homology
3 questions
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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 ...
5
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1
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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 ...
5
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0
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Two Hattori-Stallings trace questions
$\DeclareMathOperator\THH{THH}\DeclareMathOperator\Perf{Perf}\DeclareMathOperator\map{map}\DeclareMathOperator\tr{tr}\DeclareMathOperator\HH{HH}\DeclareMathOperator\fib{fib}\DeclareMathOperator\id{id}\...