The Quantum Pair of Pants

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Klimek, S., Mcbride, M., Rathnayake, S., Sakai, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146997
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Quantum Pair of Pants / S. Klimek, M. Mcbride, S. Rathnayake, K. Sakai // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ.

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 o...