A Spectral Triple for a Solenoid Based on the Sierpinski Gasket

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Aiello, Valeriano, Guido, Daniele, Isola, Tommaso
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211168
• 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

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.