A canonical trace associated with certain spectral triples.
A de Rham theorem in the context of noncommutative geometry.
A new construction of characteristic classes for noncommutative algebraic principal bundles
We propose a new construction of characteristic classes for noncommutative algebraic principal bundles (Hopf-Galois extensions) with values in Hochschild and cyclic homology.
A note on flat noncommutative connections
It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.
A Thom isomorphism for infinite rank Euclidean bundles.
A view on optimal transport from noncommutative geometry.
An idempotent for a Jordanian quantum complex sphere
A new Jordanian quantum complex 4-sphere together with an instanton-type idempotent is obtained as a suspension of the Jordanian quantum group .