All Questions

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 ...

$\DeclareMathOperator\THH{THH}\DeclareMathOperator\Perf{Perf}\DeclareMathOperator\map{map}\DeclareMathOperator\tr{tr}\DeclareMathOperator\HH{HH}\DeclareMathOperator\fib{fib}\DeclareMathOperator\id{id}\...

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 ...