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arXiv · 1410.0733

The Quantum Pair of Pants

Slawomir Klimek·Matt McBride·Sumedha Rathnayake·Kaoru Sakai
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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.

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Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai. 2015-02-10. The Quantum Pair of Pants. https://doi.org/10.3842/sigma.2015.012

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