Journal of Operator Theory
Volume 79, Issue 1, Winter 2018 pp. 173-200.
Continuous perturbations of noncommutative Euclidean spaces and tori
Authors:
Li Gao
Author institution: Department of Mathematics, University of Illinois, Urbana, IL 61801, U.S.A.
Summary: We prove the existence of the Lip1/2 continuous Moyal deformation
of Euclidean plane. It is a noncompact version of Haagerup and Rordam's result about
continuous paths of the rotation C∗-algebras.
Moveover, our construction is generalized to noncommutative Euclidean spaces of d
imension d⩾. As a corollary, we extend Haagerup and Rordam's result
to noncommutative d-tori.
DOI: http://dx.doi.org/10.7900/jot.2017feb09.2156
Keywords: Moyal deformation, noncommutative Euclidean space, noncommutative tori
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