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MiS Preprint
59/2000

Quantum real projective space, disc and sphere

Piotr M. Hajac, Rainer Matthes and Wojciech Szymanski

Abstract

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.

Received:
Oct 14, 2000
Published:
Oct 14, 2000

Related publications

inJournal
2003 Repository Open Access
Piotr M. Hajac, Rainer Matthes and Wojciech Szymanski

Quantum real projective space, disc and sphere

In: Algebras and representation theory, 6 (2003) 2, pp. 169-192