Article

Abstract

• We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximated by finite dimensional quantum compact metric spaces, and that they form a continuous family of quantum compact metric spaces over the space of multipliers of the solenoid, properly metrized.

Creator

• Packer, Judith
• Latremoliere, Frederic

Date Issued

• 2017-01-01

Academic Affiliation

• Mathematics

Journal Title

• Proceedings of the American Mathematical Society

Journal Issue/Number

• 5

Journal Volume

• 145

Zuletzt geändert

• 2019-12-05

Resource Type

• Article

Urheberrechts-Erklärung

• In Copyright

DOI

•  http://dx.doi.org/10.1090/proc/13229

ISSN

• 1088-6826

Language

• English [eng]

Beziehungen

Artikel

Miniaturansicht	Titel	Datum Hochgeladen	Sichtbarkeit	Aktionen
	noncommutativeSolenoidsAndTheGromovHausdorffPropinquity.pdf	2019-12-05	Öffentlichkeit	Herunterladen
	noncommutativeSolenoidsAndTheGromovHausdorffPropinquity.pdf	2019-12-05	Öffentlichkeit	Herunterladen