Discretized C * -Algebras

Carla Farsi; Neil Watling

Bollettino dell'Unione Matematica Italiana (2006)

  • Volume: 9-B, Issue: 3, page 697-709
  • ISSN: 0392-4041

Abstract

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We define discretized canonical commutation relations associated to finite order automorphisms of discrete abelian groups. This generalizes the situation for rotation algebras and their finite order automorphisms. We also consider the almost Schrödinger operator associated to the given commutation relations.

How to cite

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Farsi, Carla, and Watling, Neil. "Discretized $C^*$-Algebras." Bollettino dell'Unione Matematica Italiana 9-B.3 (2006): 697-709. <http://eudml.org/doc/289610>.

@article{Farsi2006,
abstract = {We define discretized canonical commutation relations associated to finite order automorphisms of discrete abelian groups. This generalizes the situation for rotation algebras and their finite order automorphisms. We also consider the almost Schrödinger operator associated to the given commutation relations.},
author = {Farsi, Carla, Watling, Neil},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {697-709},
publisher = {Unione Matematica Italiana},
title = {Discretized $C^*$-Algebras},
url = {http://eudml.org/doc/289610},
volume = {9-B},
year = {2006},
}

TY - JOUR
AU - Farsi, Carla
AU - Watling, Neil
TI - Discretized $C^*$-Algebras
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/10//
PB - Unione Matematica Italiana
VL - 9-B
IS - 3
SP - 697
EP - 709
AB - We define discretized canonical commutation relations associated to finite order automorphisms of discrete abelian groups. This generalizes the situation for rotation algebras and their finite order automorphisms. We also consider the almost Schrödinger operator associated to the given commutation relations.
LA - eng
UR - http://eudml.org/doc/289610
ER -

References

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