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 features are discussed.

A spectral triple for a solenoid based on the sierpinski gasket / Aiello, V.; Guido, D.; Isola, T.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 17:(2021). [10.3842/SIGMA.2021.020]

A spectral triple for a solenoid based on the sierpinski gasket

Aiello V.;
2021

Abstract

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 features are discussed.
2021
Noncommutative geometry; Ramified coverings; self-similar fractals
01 Pubblicazione su rivista::01a Articolo in rivista
A spectral triple for a solenoid based on the sierpinski gasket / Aiello, V.; Guido, D.; Isola, T.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 17:(2021). [10.3842/SIGMA.2021.020]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1705155
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