Dimensions and singular traces for spectral triples, with applications to fractals
نویسندگان
چکیده
منابع مشابه
Spectral triples and the geometry of fractals
We construct spectral triples for the Sierpinski gasket as infinite sums of unbounded Fredholm modules associated with the holes in the gasket and investigate their properties. For each element in the K-homology group we find a representative induced by one of our spectral triples. Not all of these triples, however, will have the right geometric properties. If we want the metric induced by the ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2003
ISSN: 0022-1236
DOI: 10.1016/s0022-1236(03)00230-1