Translation invariant states on twisted algebras on a lattice

Autor(en)

Bernhard Baumgartner, Fabio Benatti, Heide Narnhofer

Abstrakt

We construct an algebra with twisted commutation relations and equip it with the shift. For appropriate irregularity of the non-local commutation relations, we prove that the tracial state is the only translation-invariant state.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Università degli Studi di Trieste

Journal

Journal of Physics A: Mathematical and Theoretical

Band

43

Anzahl der Seiten

13

ISSN

1751-8113

DOI

https://doi.org/10.1088/1751-8113/43/11/115301

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/946aaad4-1ff8-4689-84cf-654d94ca8958