Paper
Spoke topological Hochschild homology
Authors
Gabriel Angelini-Knoll, Foling Zou
Abstract
Fix an odd prime and let be the cyclic group of order . We compute the spoke topological Hochschild homology of and prove it exhibits a form of Bökstedt periodicity. Here spoke topological Hochschild homology is a variant of topological Hochschild homology where one replaces the circle in the construction with the unreduced suspension of . As an application, we use this result to give a new proof of the Segal conjecture for the cyclic group of order an odd prime .