Die u:cris Detailansicht:
Deformed noncommutative tori
- Autor(en)
- Joakim Arnlind, Harald Grosse
- Abstrakt
We recall a construction of non-commutative algebras related to a one-parameter family of (deformed) spheres and tori, and show that in the case of tori, the *-algebras can be completed into C*-algebras isomorphic to the standard non-commutative torus. As the former was constructed in the context of matrix (or fuzzy) geometries, it provides an important link to the framework of non-commutative geometry, and opens up for a concrete way to study deformations of non-commutative tori. Furthermore, we show how the well-known fuzzy sphere and fuzzy torus can be obtained as formal scaling limits of finite-dimensional representations of the deformed algebras, and their projective modules are described together with connections of constant curvature.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Linköping University
- Journal
- Journal of Mathematical Physics
- Band
- 53
- Anzahl der Seiten
- 9
- ISSN
- 0022-2488
- DOI
- https://doi.org/10.1063/1.4732099
- Publikationsdatum
- 2012
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103019 Mathematische Physik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/133902d7-59cd-4052-a93d-651881d7f6a4