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Mathematics > Operator Algebras

Title: Convergence of Heisenberg Modules over Quantum 2-tori for the Modular Gromov-Hausdorff Propinquity

Abstract: The modular Gromov-Hausdorff propinquity is a distance on classes of modules endowed with quantum metric information, in the form of a metric form of a connection and a left Hilbert module structure. This paper proves that the family of Heisenberg modules over quantum two tori, when endowed with their canonical connections, form a continuous family for the modular propinquity.
Comments: Third part of 1608.04881v1; second part of arXiv:1703.07073v1; split due to length. 34 pages
Subjects: Operator Algebras (math.OA)
MSC classes: 46L89
Cite as: arXiv:1803.06601 [math.OA]
  (or arXiv:1803.06601v1 [math.OA] for this version)

Submission history

From: Frederic Latremoliere [view email]
[v1] Sun, 18 Mar 2018 04:36:08 GMT (30kb)