Splittings and calculational techniques for higher THH
Academic Article
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We prove several structural properties of these constructions relating $X otimes (-)$ to $Sigma X otimes (-)$ and we establish splitting results. This allows us, among other important examples, to determine $THH^{[n]}_*(mathbb{Z}/p^m; mathbb{Z}/p)$ for all $n geq 1$ and for all $m geq 2$.