Automorphisms of $p$-local compact groups

Alex Gonzalez; Ran Levi

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arXiv · 1507.05069

Automorphisms of $p$-local compact groups

Alex Gonzalez·Ran Levi

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Abstract

Self equivalences of classifying spaces of $p$-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use a construction of Robinson of an amalgam $G$, realizing a given fusion system, to produce a split epimorphism from the outer automorphism group of $G$ to the group of homotopy classes of self homotopy equivalences of the classifying space of the corresponding $p$-local compact group.

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Alex Gonzalez, Ran Levi. 2015-07-17. Automorphisms of $p$-local compact groups. https://arxiv.org/abs/1507.05069

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