The Action by Natural Transformations of a Group on a Diagram of Spaces

Abstract

For $\Cc$ a $G$-category, we give a condition on a diagram of simplicial sets indexed on $\Cc$ that allows us to define a natural $G$-action on its homotopy colimit, and in some other simplicial sets and categories defined in terms of the diagram. Well-known theorems on homeomorphisms and homotopy equivalences are generalized to an equivariant version.

8 pages

Cited by in corpus (1)

• Real topological Hochschild homology via the norm and Real Witt vectors