English

A Spectral Triple for a Solenoid Based on the Sierpinski Gasket

Operator Algebras 2021-03-03 v3

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

Cite

@article{arxiv.2005.14225,
  title  = {A Spectral Triple for a Solenoid Based on the Sierpinski Gasket},
  author = {Valeriano Aiello and Daniele Guido and Tommaso Isola},
  journal= {arXiv preprint arXiv:2005.14225},
  year   = {2021}
}