A Spectral Triple for a Solenoid Based on the Sierpinski Gasket

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dc.contributor.authorAiello, Valeriano
dc.contributor.authorGuido, Daniele
dc.contributor.authorIsola, Tommaso
dc.date.accessioned2025-12-25T13:20:52Z
dc.date.issued2021
dc.description.abstractThe 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.
dc.description.sponsorshipWe thank the referees of this paper for many interesting observations and suggestions. 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.
dc.identifier.citationA Spectral Triple for a Solenoid Based on the Sierpinski Gasket. Valeriano Aiello, Daniele Guido and Tommaso Isola. SIGMA 17 (2021), 020, 21 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.020
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 58B34; 28A80; 47D07; 46L05
dc.identifier.otherarXiv:2005.14225
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211168
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleA Spectral Triple for a Solenoid Based on the Sierpinski Gasket
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік