9 citations · 13 across the 3 of their papers we have counts for
4 papers
Spectral triples and the geometry of fractals
Erik Christensen, Cristina Ivan, Elmar Schrohe
For each K-homolgy element of the Sierpinski gasket we construct a spectral triple which will generate that element. We show that there must be certain limits on the choice of the…
Extensions and degenerations of spectral triples
Erik Christensen, Cristina Ivan
For a unital C*-algebra A, which is equipped with a spectral triple and an extension T of A by the compacts, we construct a family of spectral triples associated to T and depending…
Dirac operators and spectral triples for some fractal sets built on curves
Erik Christensen, Cristina Ivan, Michel L. Lapidus
We construct spectral triples and, in particular, Dirac operators, for the algebra of continuous functions on certain compact metric spaces. The triples are countable sums of tripl…
Sums of two dimensional spectral triples
Erik Christensen, Cristina Ivan
We study countable sums of two dimensional modules for the continuous complex functions on a compact metric space and show that it is possible to construct a spectral triple which…