The C*-algebra of an affine map on the 3-torus
(2012) In Documenta Mathematica 17. p.545-572- Abstract
- We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3412517
- author
- Andersen, Kasper LU and Thomsen, Klaus
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Documenta Mathematica
- volume
- 17
- pages
- 545 - 572
- publisher
- Deutsche Mathematiker-Vereinigung (DMV) & Fakultät für Mathematik, Universität Bielefeld.
- external identifiers
-
- scopus:84918555298
- ISSN
- 1431-0635
- language
- English
- LU publication?
- yes
- id
- 341492ee-8d6a-4519-a12f-abfd6079131b (old id 3412517)
- alternative location
- http://www.math.uiuc.edu/documenta/vol-17/17.html
- date added to LUP
- 2016-04-01 10:43:47
- date last changed
- 2022-01-26 01:58:26
@article{341492ee-8d6a-4519-a12f-abfd6079131b, abstract = {{We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.}}, author = {{Andersen, Kasper and Thomsen, Klaus}}, issn = {{1431-0635}}, language = {{eng}}, pages = {{545--572}}, publisher = {{Deutsche Mathematiker-Vereinigung (DMV) & Fakultät für Mathematik, Universität Bielefeld.}}, series = {{Documenta Mathematica}}, title = {{The C*-algebra of an affine map on the 3-torus}}, url = {{http://www.math.uiuc.edu/documenta/vol-17/17.html}}, volume = {{17}}, year = {{2012}}, }