Change search
ReferencesLink to record
Permanent link

Direct link
Deformed noncommutative tori
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-8727-2169
Mathematical Physics, Austria .
2012 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 53, no 7, 073505- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
American Institute of Physics (AIP) , 2012. Vol. 53, no 7, 073505- p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-82075DOI: 10.1063/1.4732099ISI: 000307609900030OAI: oai:DiVA.org:liu-82075DiVA: diva2:557696
Available from: 2012-09-28 Created: 2012-09-28 Last updated: 2013-08-29

Open Access in DiVA

fulltext(180 kB)171 downloads
File information
File name FULLTEXT01.pdfFile size 180 kBChecksum SHA-512
5ec4281b315500e52ac4e7cc93a65d595ee34e47ca0c6fbaf8fd237e5161bec32a5235eccfd2f05a8448166183637bd96422d2f8f97adaf2ac0d3218bef9dc20
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Arnlind, Joakim
By organisation
Mathematics and Applied MathematicsThe Institute of Technology
In the same journal
Journal of Mathematical Physics
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 171 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 134 hits
ReferencesLink to record
Permanent link

Direct link