11 citations · 26 across the 5 of their papers we have counts for
8 papers
Fixed Point Algebras for Easy Quantum Groups
Olivier Gabriel, Moritz Weber
Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg alg…
On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for -Dynamical Systems
Farzad Fathizadeh, Olivier Gabriel
The analog of the Chern-Gauss-Bonnet theorem is studied for a -dynamical system consisting of a -algebra equipped with an ergodic action of a compact Lie group . T…
Spectral Triples and Generalized Crossed Products
Olivier Gabriel, Martin Grensing
We give a construction allowing to lift spectral triples to crossed products by Hilbert bimodules. The spectral triple one obtains is a concrete unbounded representative of the Kas…
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…
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…
Six-Term Exact Sequences for Smooth Generalized Crossed Products
Olivier Gabriel, Martin Grensing
We define smooth generalized crossed products and prove six-term exact sequences of Pimsner-Voiculescu type. This sequence may, in particular, be applied to smooth subalgebras of t…