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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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