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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 020, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.020 (Mi sigma1703) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.3842/SIGMA.2021.020
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.
Funding agency Grant number
Swiss National Science Foundation
GNAMPA-INdAM
European Research Council 669240
Italian Ministry of Education, University and Research E83C18000100006
V.A. is supported by the Swiss National Science Foundation. D.G. and T.I. are supported in part by GNAMPA-INdAM and the ERC Advanced Grant 669240 QUEST “Quantum Algebraic Structures and Models”, and acknowledge the MIUR Excellence Department Project awarded to the Department of Mathematics, University of Rome Tor Vergata, CUP E83C18000100006.
Received: June 23, 2020; in final form February 10, 2021; Published online March 2, 2021
Bibliographic databases:
Document Type: Article
MSC: 58B34, 28A80, 47D07, 46L05
Language: English
Citation: Valeriano Aiello, Daniele Guido, Tommaso Isola, “A Spectral Triple for a Solenoid Based on the Sierpinski Gasket”, SIGMA, 17 (2021), 020, 21 pp.
Citation in format AMSBIB
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\paper A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
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\totalpages 21
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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