The Quantum Pair of Pants

10 Feb 2015 · Klimek Slawomir, McBride Matt, Rathnayake Sumedha, Sakai Kaoru ·

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.