Unstable Adams operations on p-local compact groups
Algebraic Topology
2014-10-01 v1
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 , 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
Cite
@article{arxiv.1103.6185,
title = {Unstable Adams operations on p-local compact groups},
author = {Fabien Junod and Assaf Libman and Ran Levi},
journal= {arXiv preprint arXiv:1103.6185},
year = {2014}
}