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.

Aiello, V., Guido, D., Isola, T. (2021). A spectral triple for a solenoid based on the Sierpinski Gasket. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS.

A spectral triple for a solenoid based on the Sierpinski Gasket

Guido, Daniele
;
Isola, Tommaso
2021-01-01

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
Sottoposto a rivista
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
self-similar fractals; noncommutative geometry; ramified coverings; solenoids
https://arxiv.org/abs/2005.14225
Aiello, V., Guido, D., Isola, T. (2021). A spectral triple for a solenoid based on the Sierpinski Gasket. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS.
Aiello, V; Guido, D; Isola, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/260211
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