Can I read Homotopy Representations and the Picard Group of the Equivariant Stable Homotopy Category on EtoBox?

Homotopy Representations and the Picard Group of the Equivariant Stable Homotopy Category by Knutsen, Erik is a scholarly article available to read on EtoBox.

What is Homotopy Representations and the Picard Group of the Equivariant Stable Homotopy Category about?

If $G$ is a finite group or a torus, it is known that there is an isomorphism between the Grothendieck group of homotopy representations and that of generalized homotopy representations for $G$. We prove that there is such an isomorphism when $G$ is a compact Lie group with component group $\Gamma$ having the property that all projective $\mathbb{Z}\Gamma$-modules are stably free. This resolves a conjecture of Fausk, Lewis, and May for such $G$, giving a better description of the Picard group of the homotopy category of $G$-spectra.

Author

Knutsen, Erik

Published

2023

Language

EN