The Quantum Pair of Pants

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 p...

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Veröffentlicht in:	arXiv.org 2015-02
Hauptverfasser:	Klimek, Slawomir, McBride, Matt, Rathnayake, Sumedha, Sakai, Kaoru
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic functions Hilbert space Mathematical analysis Mathematics - Operator Algebras Multiplication Operators (mathematics)
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1410.0733