Curved Noncommutative Tori as Leibniz Quantum Compact Metric Space

Publication Date

8-13-2015

Document Type

Article

Keywords

Leibniz, Quantum, Compact, Metric, Spaces

Abstract

We prove that curved noncommutative tori are Leibniz quantum compact metric spaces and that they form a continuous family over the group of invertible matrices with entries in the commutant of the quantum tori in the regular representation, when this group is endowed with a natural length function.

Comments

Reproduced from

Latrémolière, F. (2015). Curved Noncommutative Tori as Leibniz Quantum Compact Metric Space, Journal of Mathematical Physics, 56(12). https://doi.org/10.1063/1.4937444

with the permission of AIP Publishing.

Available online from the Journal of Mathematical Physics: https://doi.org/10.1063/1.4937444

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