Curved noncommutative tori as Leibniz quantum compact metric spaces

Journal Article · Tue Dec 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4937444· OSTI ID:22479574

Latrémolière, Frédéric ^[1]

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1. Department of Mathematics, University of Denver, Denver, Colorado 80208 (United States)

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 image of the quantum tori for the conjugation by modular conjugation operator in the regular representation, when this group is endowed with a natural length function.

• OSTI ID: 22479574
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUTATION RELATIONS
DIAGRAMS
FUNCTIONS
LENGTH
MATHEMATICAL SPACE
MATRICES
METRICS
TORI