Noncommutative balls and mirror quantum spheres

Title: Noncommutative balls and mirror quantum spheres
Creator: Hong, Jeong Hee; Szymanski, Wojciech
Relation: Journal of the London Mathematical Society-Second Series Vol. 77, Issue 3, p. 607-626
Publisher Link: http://dx.doi.org/10.1112/jlms/jdn003
Publisher: Oxford University Press
Resource Type: journal article
Date: 2008
Description: Noncommutative analogues of n-dimensional balls are defined by repeated application of the quantum double suspension to the classical low-dimensional spaces. In the ‘even-dimensional’ case they correspond to the twisted canonical commutation relations of Pusz and Woronowicz. Then quantum spheres are constructed as double manifolds of noncommutative balls. Both C*-algebras and polynomial algebras of the objects in question are defined and analysed, and their relations with previously known examples are presented. Our construction generalizes that of Hajac, Matthes, and Szymaski for ‘dimension 2’, and leads to a new class of quantum spheres (already on the C*-algebra level) in all ‘even dimensions’.
Subject: C*-algebras; infinite graphs; space; noncommutative balls; quantum spheres
Identifier: http://hdl.handle.net/1959.13/43491
Identifier: uon:5590
Identifier: ISSN:0024-6107
Language: eng
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