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math.OA2013
Ergodic Actions and Spectral Triples
Olivier Gabriel, Martin Grensing
In this article, we give a general construction of spectral triples from certain Lie group actions on unital C*-algebras. If the group G is compact and the action is ergodic, we ac…
math.OA2012
Fixed points of compact quantum groups actions on Cuntz algebras
Olivier Gabriel
Given an action of a Compact Quantum Group (CQG) on a finite dimensional Hilbert space, we can construct an action on the associated Cuntz algebra. We study the fixed point algebra…