We introduce a notion of Ricci curvature lower bound for symmetric sub-Markovian
semigroups. We use this notion to investigate functional calculus of the Hodge-Dirac …

The goal of this thesis is to give an introduction to the geometric picture of bivariant K-theory
developed by Emerson and Meyer building on the ideas Connes and Skandalis, and then to …

The irrational rotation algebra A_θ is known to be Poincaré self-dual in the KK-theoretic
sense. The spectral triple representing the required K-homology fundamental class was …