Translation invariant states on twisted algebras on a lattice

Bernhard Baumgartner; Fabio Benatti; Heide Narnhofer

doi:10.1088/1751-8113/43/11/115301

Translation invariant states on twisted algebras on a lattice

Bernhard Baumgartner, Fabio Benatti, Heide Narnhofer

Mathematical Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

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.

Original language	English
Article number	115301
Number of pages	13
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	43
Issue number	11
DOIs	https://doi.org/10.1088/1751-8113/43/11/115301
Publication status	Published - 2010

Austrian Fields of Science 2012

103019 Mathematical physics

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10.1088/1751-8113/43/11/115301

http://xxx.tau.ac.il/abs/0901.1743

Cite this

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title = "Translation invariant states on twisted algebras on a lattice",

abstract = "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.",

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AU - Benatti, Fabio

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DO - 10.1088/1751-8113/43/11/115301

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VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 11

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Translation invariant states on twisted algebras on a lattice

Abstract

Austrian Fields of Science 2012

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