Categorical models for equivariant classifying spaces

Abstract

Starting categorically, we give simple and precise models of equivariant classifying spaces. We need these models for work in progress in equivariant infinite loop space theory and equivariant algebraic K-theory, but the models are of independent interest in equivariant bundle theory and especially equivariant covering space theory.

29 pages. Revised version, to appear in AGT. Considerable changes of notation and organization and other changes aimed at making the paper more user friendly

Cited by in corpus (8)

• Models of G-spectra as presheaves of spectra
• Equivariant iterated loop space theory and permutative G-categories
• Combinatorial $N_{\infty }$ operads
• Classifying spaces for 1-truncated compact Lie groups
• $K$-theory of Hermitian Mackey functors and a reformulation of the Novikov Conjecture
• Equivariant infinite loop space theory, the space level story
• Excision in equivariant fibred G-theory
• Cardinal-indexed classifying spaces for families of subgroups of any topological group