32 citations · 78 across the 21 of their papers we have counts for
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The crystal groupoid of a compact semisimple Lie group and its flag varieties
Aidan Sims, Robert Yuncken
We introduce the crystal groupoid of a compact semisimple Lie group ; it is the Deaconu-Renault groupoid of a higher-rank analogue of a subshift of finite type on an inverse lim…
A groupoid approach to the Wodzicki residue
Nathan Couchet, Robert Yuncken
Originally, the noncommutative residue was studied in the 80's by Wodzicki in his thesis and Guillemin. In this article we give a definition of the Wodzicki residue, using the lang…
On pseudodifferential operators on filtered and multifiltered manifolds
Robert Yuncken
This memoir is a summary of recent work, including collaborations with Erik van Erp, Christian Voigt and Marco Matassa, compiled for the "Habilitation à diriger des recherches". We…
Regularity of twisted spectral triples and pseudodifferential calculi
Marco Matassa, Robert Yuncken
We investigate the regularity condition for twisted spectral triples. This condition is equivalent to the existence of an appropriate pseudodifferential calculus compatible with th…
The Bernstein-Gelfand-Gelfand complex and Kasparov theory for SL(3,C)
Robert Yuncken
Let . We construct an element of -equivariant -homology from the Bernstein-Gelfand-Gelfand complex for . This furnishes an explicit splitting…