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Topological $\Delta G$ homology of rings with twisted $G$-action

Topological $\Delta G$ homology of rings with twisted $G$-action

We provide a unifying framework for studying variants of topological Hochschild homology such as Real topological Hochschild homology. Associated to a crossed simplicial group $\Delta G$, a category that generalizes Connes' cyclic category, we introduce an invariant of rings with twisted $G$-action, which we call topological $\Delta G$-homology. Here a …