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Title: Curved noncommutative tori as Leibniz quantum compact metric spaces

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.
Authors:
 [1]
  1. Department of Mathematics, University of Denver, Denver, Colorado 80208 (United States)
Publication Date:
OSTI Identifier:
22479574
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATION RELATIONS; DIAGRAMS; FUNCTIONS; LENGTH; MATHEMATICAL SPACE; MATRICES; METRICS; TORI