Preprint 59/2000

Quantum real projective space, disc and sphere

Piotr M. Hajac, Rainer Matthes, and Wojciech Szymanski

Contact the author: Please use for correspondence this email.
Submission date: 14. Oct. 2000
Pages: 24
published in: Algebras and representation theory, 6 (2003) 2, p. 169-192 
DOI number (of the published article): 10.1023/A:1023288309786
Download full preprint: PDF (412 kB), PS ziped (193 kB)

We define the C*-algebra of quantum real projective space RPq2, classify its irreducible representations and compute its K-theory. We also show that the q-disc of Klimek-Lesniewski can be obtained as a non-Galois Z2-quotient of the equator Podles quantum sphere. On the way, we provide the Cartesian coordinates for all Podles quantum spheres and determine an explicit form of isomorphisms between the C*-algebras of the equilateral spheres and the C*-algebra of the equator one.

24.11.2021, 02:11