Quantum even-dimensional balls

Abstract

The quantum even-dimensional balls are defined as the $C^{\ast }$-algebras generated by certain graphs. We exhibit a polynomial algebra for each even-dimensional quantum ball, and classify the irreducible representations of it.

arXiv comment32 pages. Honours thesis submitted to the University of Newcastle, Australia

References in corpus (2)

• Noncommutative Balls and Mirror Quantum Spheres
• Graph C*-algebras and Z/2Z-quotients of quantum spheres