9 citations · 13 across the 3 of their papers we have counts for
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math.OA2010
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…
math.OA2007★ 9 cited
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…
math.OA2006★ 3 cited
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…