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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 036, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.036 (Mi sigma901) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Slawomir Klimeka, Matt McBrideb

a Department of Mathematical Sciences, Indiana University–Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
b Department of Mathematics, University of Oklahoma, 601 Elm St., Norman, OK 73019, USA
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DOI: https://doi.org/10.3842/SIGMA.2014.036
Abstract: The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.
Keywords: Dirac type operator; quantum space, $C^*$-algebra.
Received: September 30, 2013; in final form March 25, 2014; Published online March 29, 2014
Bibliographic databases:
Document Type: Article
MSC: 46L99; 47B99; 81R60
Language: English
Citation: Slawomir Klimek, Matt McBride, “A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere”, SIGMA, 10 (2014), 036, 15 pp.
Citation in format AMSBIB
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\paper A Note on Gluing Dirac Type Operators on a~Mirror Quantum Two-Sphere
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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