Quantum Real Projective Space, Disc and Sphere

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dc.creatorHajac, Piotr M.
dc.creatorMatthes, Rainer
dc.creatorSzymanski, Wojciech
dc.date2000-09-20
dc.date.accessioned2026-07-07T04:37:37Z
dc.date.available2026-07-07T04:37:37Z
dc.descriptionWe define the $C^*$-algebra of quantum real projective space $\R P_q^2$, 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 $\Z_2$-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.
dc.description22 pages in plain LATEX
dc.identifierhttps://arxiv.org/abs/math/0009185
dc.identifierhttp://arxiv.org/abs/math/0009185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59967
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.titleQuantum Real Projective Space, Disc and Sphere
dc.typetext

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