Derivations, Dirichlet Forms and Spectral Analysis
نویسندگان
چکیده
We study derivations and Fredholm modules on metric spaces with a Dirichlet form. In particular, on finitely ramified fractals, we show that there is a non-trivial Fredholm module if and only if the fractal is not a tree. This result relates Fredholm modules and topology, and refines and improves known results on p.c.f. fractals.
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تاریخ انتشار 2011