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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 075, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.075 (Mi sigma1275) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Derivations and Spectral Triples on Quantum Domains I: Quantum Disk

Slawomir Klimeka, Matt McBrideb, Sumedha Rathnayakec, Kaoru Sakaia, Honglin Wanga

a Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
b Department of Mathematics and Statistics, Mississippi State University, 175 President's Cir., Mississippi State, MS 39762, USA
c Department of Mathematics, University of Michigan, 530 Church St., Ann Arbor, MI 48109, USA
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DOI: https://doi.org/10.3842/SIGMA.2017.075
Abstract: We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral triples.
Keywords: invariant and covariant derivations; spectral triple; quantum disk.
Received: May 12, 2017; in final form September 21, 2017; Published online September 24, 2017
Bibliographic databases:
Document Type: Article
MSC: 46L87; 46L89; 58B34; 58J42
Language: English
Citation: Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, Honglin Wang, “Derivations and Spectral Triples on Quantum Domains I: Quantum Disk”, SIGMA, 13 (2017), 075, 26 pp.
Citation in format AMSBIB
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\paper Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
\jour SIGMA
\yr 2017
\vol 13
\papernumber 075
\totalpages 26
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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