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arXiv · 1103.6185

Unstable Adams operations on p-local compact groups

Fabien Junod·Assaf Libman·Ran Levi
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Abstract

A p-local compact group is an algebraic object modelled on the p-local homotopy theory of classifying spaces of compact Lie groups and p-compact groups. In the study of these objects unstable Adams operations, are of fundamental importance. In this paper we define unstable Adams operations within the theory of p-local compact groups, and show that such operations exist under rather mild conditions. More precisely, we prove that for a given p-local compact group G and a sufficiently large positive integer $m$, there exists an injective group homomorphism from the group of p-adic units which are congruent to 1 modulo p^m to the group of unstable Adams operations on G

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Fabien Junod, Assaf Libman, Ran Levi. 2011-03-31. Unstable Adams operations on p-local compact groups. https://doi.org/10.2140/agt.2012.12.49

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