Add to ORKGIn [PRen] we constructed smooth (1,∞)-summable semfinite spectral triples for graph algebras with a faithful trace, and in [PRS] we constructed (k,∞)-summable semifinite spectral triples for k-graph algebras. In this paper we identify classes of graphs and k-graphs which satisfy a version of Connes’ conditions for noncommutative manifolds
.We introduce a new class of noncommutative spectral triples on Kellendonk\u27s C*-algebra associate...
We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbound...
25 pages, 1 figureInternational audienceUsing the Chamseddine--Connes approach of the noncommutative...
In [PRen] we constructed smooth (1, ∞)-summable semifinite spectral triples for graph algebras with ...
AbstractWe investigate conditions on a graph C*-algebra for the existence of a faithful semifinite t...
We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative...
A new connection between combinatorics and noncommutative algebra is established by relating a certa...
We introduce a homology theory for k-graphs and explore its fundamental properties. We establish con...
AbstractWe introduce a homology theory for k-graphs and explore its fundamental properties. We estab...
In 2004 Alexander Postnikov and Boris Shapiro introduced a class of commutative algebras for non-dir...
One way to construct noncommutative analogues of a Riemannian manifold Σ is to make use of the Toepl...
In this thesis we study the zeta function formalism of finitely summable spectral triples in noncomm...
The moduli spaces of θ-semistable representations of a finite quiver can be packaged together to for...
In this note, we present a new way to associate a spectral triple to the noncommutative $C^*$-algebr...
We study noncommutative geometry from a metric point of view by constructing examples of spectral t...
.We introduce a new class of noncommutative spectral triples on Kellendonk\u27s C*-algebra associate...
We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbound...
25 pages, 1 figureInternational audienceUsing the Chamseddine--Connes approach of the noncommutative...
In [PRen] we constructed smooth (1, ∞)-summable semifinite spectral triples for graph algebras with ...
AbstractWe investigate conditions on a graph C*-algebra for the existence of a faithful semifinite t...
We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative...
A new connection between combinatorics and noncommutative algebra is established by relating a certa...
We introduce a homology theory for k-graphs and explore its fundamental properties. We establish con...
AbstractWe introduce a homology theory for k-graphs and explore its fundamental properties. We estab...
In 2004 Alexander Postnikov and Boris Shapiro introduced a class of commutative algebras for non-dir...
One way to construct noncommutative analogues of a Riemannian manifold Σ is to make use of the Toepl...
In this thesis we study the zeta function formalism of finitely summable spectral triples in noncomm...
The moduli spaces of θ-semistable representations of a finite quiver can be packaged together to for...
In this note, we present a new way to associate a spectral triple to the noncommutative $C^*$-algebr...
We study noncommutative geometry from a metric point of view by constructing examples of spectral t...
.We introduce a new class of noncommutative spectral triples on Kellendonk\u27s C*-algebra associate...
We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbound...
25 pages, 1 figureInternational audienceUsing the Chamseddine--Connes approach of the noncommutative...