46 citations · 157 across the 23 of their papers we have counts for
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Chern numbers for two families of noncommutative Hopf fibrations
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We consider noncommutative line bundles associated with the Hopf fibrations of SUq(2) over all Podles spheres and with a locally trivial Hopf fibration of S^3_{pq}. These bundles a…
A cocycle for the comultiplication on the quantum SU(2) group
Wojciech Szymanski
For the family Delta_q, q in [0,1), of the SU_q(2)-comultiplications on the C*-algebra A\cong C(SU_q(2)), we show that there exist unitary operators Omega_q such that Delta_q(x)=Om…
Quantum lens spaces and principal actions on graph C*-algebras
Wojciech Szymanski
We study certain principal actions on noncommutative C*-algebras. Our main examples are the Z_p- and T-actions on the odd-dimensional quantum spheres, yielding as fixed-point algeb…
Graph C*-algebras and Z/2Z-quotients of quantum spheres
P. M. Hajac, R. Matthes, W. Szymanski
We consider two Z/2Z-actions on the Podles generic quantum spheres. They yield, as noncommutative quotient spaces, the Klimek-Lesniewski q-disc and the quantum real projective spac…
Quantum Real Projective Space, Disc and Sphere
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We define the -algebra of quantum real projective space , classify its irreducible representations and compute its -theory. We also show that the -disc of Klim…