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Title: Unstable Adams operations on ρ-local compact groups
Author: Junod, Fabien
ISNI:       0000 0004 2701 0989
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 2008
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Let G be any compact connected Lie group and let TG be a maximal torus.  Then for any unstable Adams operation f of degree k, the following diagram commutes up to homotopy «!» And conversely, any map f that makes the above diagram commute must be an unstable Adams operation. Using this characterization, we will construct a self-map of a p-local compact group (S,F,L) in order to define unstable Adams operations on a more general setting. THEOREM.  For any p-local compact group (S,F,L) there is a self-equivalence such that the map on the objects when restricted to the identity component of S is a qm-th power map.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: K-theory ; Algebra, Homological