Work

Localisations and completions of nilpotent G-spaces

Year: 2025

Type: article

Abstract: We develop the theory of nilpotent G-spaces and their localisations, for G a compact Lie group, via reduction to the non-equivariant case using Bousfield localisation. One point of interest in the equivariant setting is that we can choose to localise or complete at different sets of primes at different fixed point spaces—and the theory works out just as well provided that you invert more primes at $$K \le G$$ K ≤ G than at $$H \le G$$ H ≤ G , whenever K is subconjugate to H in G. We also develop the theory in an unbased context, allowing us to extend the theory to G-spaces which are not G-connected.

Source: Journal of Homotopy and Related Structures

DOI: 10.1007/s40062-025-00371-y

Author: Andrew Ronan

Institution: University of Warwick

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: University of Warwick, Engineering and Physical Sciences Research Council