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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
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
Citation:
Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, “The Quantum Pair of Pants”, SIGMA, 11 (2015), 012, 22 pp.
Linking options:
https://www.mathnet.ru/eng/sigma993 https://www.mathnet.ru/eng/sigma/v11/p12
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Abstract page: | 189 | Full-text PDF : | 32 | References: | 35 |
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