RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2021 Volume 17, 020, 21 pp. (Mi sigma1703)
This article is cited in 1 paper

A Spectral Triple for a Solenoid Based on the Sierpinski Gasket

Valeriano Aielloa, Daniele Guidob, Tommaso Isolab

a Mathematisches Institut, Universität Bern, Alpeneggstrasse 22, 3012 Bern, Switzerland
b Dipartimento di Matematica, Università di Roma “Tor Vergata”, I–00133 Roma, Italy

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.

Keywords: self-similar fractals, noncommutative geometry, ramified coverings.

MSC: 58B34, 28A80, 47D07, 46L05

Received: June 23, 2020; in final form February 10, 2021; Published online March 2, 2021

Language: English

DOI: 10.3842/SIGMA.2021.020



Bibliographic databases:
ArXiv: 2005.14225

© Steklov Math. Inst. of RAS, 2025