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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 012, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.012 (Mi sigma993) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Quantum Pair of Pants

Slawomir Klimeka, Matt McBrideb, Sumedha Rathnayakea, Kaoru Sakaia

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.2015.012
Abstract: We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the $C^*$-algebra generated by that operator. The algebra can be considered as the quantum pair of pants.
Keywords: quantum domains; $C^*$-algebras.
Received: October 24, 2014; in final form February 3, 2015; Published online February 10, 2015
Bibliographic databases:
Document Type: Article
MSC: 46L35
Language: English
Citation: Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, “The Quantum Pair of Pants”, SIGMA, 11 (2015), 012, 22 pp.
Citation in format AMSBIB
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\paper The Quantum Pair of Pants
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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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