Quantum Real Projective Space, Disc and Sphere

Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski

We define the $C^{\ast }$-algebra of quantum real projective space $\mathbb{R}{P}_q^2$, classify its irreducible representations and compute its $K$-theory. We also show that the $q$-disc of Klim…