2000/09/20 by Piotr M. Hajac, Hajac, Piotr M., Rainer Matthes +4
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.KT #math.OA #math.QA
paper · pdf · doi:10.48550/arxiv.math/0009185
22 pages in plain LATEX
arxiv created 2000/09/20 · openalex publication_date 2000/09/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define the C^*-algebra of quantum real projective space \R Pq2, 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 Podleś quantum sphere. On the way, we provide the Cartesian coordinates for all Podleś 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.