A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211168 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket. Valeriano Aiello, Daniele Guido and Tommaso Isola. SIGMA 17 (2021), 020, 21 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862679690806820864 |
|---|---|
| author | Aiello, Valeriano Guido, Daniele Isola, Tommaso |
| author_facet | Aiello, Valeriano Guido, Daniele Isola, Tommaso |
| citation_txt | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket. Valeriano Aiello, Daniele Guido and Tommaso Isola. SIGMA 17 (2021), 020, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-16T21:48:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211168 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T21:48:21Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aiello, Valeriano Guido, Daniele Isola, Tommaso 2025-12-25T13:20:52Z 2021 A Spectral Triple for a Solenoid Based on the Sierpinski Gasket. Valeriano Aiello, Daniele Guido and Tommaso Isola. SIGMA 17 (2021), 020, 21 pages 1815-0659 2020 Mathematics Subject Classification: 58B34; 28A80; 47D07; 46L05 arXiv:2005.14225 https://nasplib.isofts.kiev.ua/handle/123456789/211168 https://doi.org/10.3842/SIGMA.2021.020 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. We 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Spectral Triple for a Solenoid Based on the Sierpinski Gasket Article published earlier |
| spellingShingle | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket Aiello, Valeriano Guido, Daniele Isola, Tommaso |
| title | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket |
| title_full | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket |
| title_fullStr | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket |
| title_full_unstemmed | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket |
| title_short | A Spectral Triple for a Solenoid Based on the Sierpinski Gasket |
| title_sort | spectral triple for a solenoid based on the sierpinski gasket |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211168 |
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