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math.OA2020★ 2 cited
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
Valeriano Aiello, Daniele Guido, Tommaso Isola
The Sierpinski gasket admits a locally isometric ramified self-covering. A semifinite spectral triple is constructed on the resulting solenoidal space, and its main geometrical fea…
math.OA2006★ 3 cited
A C*-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and L^2-Betti numbers
Fabio Cipriani, Daniele Guido, Tommaso Isola
A class of CW-complexes, called self-similar complexes, is introduced, together with C*-algebras A_j of operators, endowed with a finite trace, acting on square-summable cellular j…