7 citations · 12 across the 5 of their papers we have counts for
7 papers
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…
The primitive ideal space of the C*-algebras of infinite graphs
Jeong Hee Hong, Wojciech Szymanski
For any countable directed graph E we describe the primitive ideal space of the corresponding generalized Cuntz-Krieger algebra C*(E).
Stable rank of graph algebras. Type I graph algebras and their limits
Klaus Deicke, Jeong Hee Hong, Wojciech Szymanski
For an arbitrary countable directed graph E we show that the only possible values of the stable rank of the associated Cuntz-Krieger algebra C*(E) are 1, 2 or \infty. Explicit crit…
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…
The ideal structure of the C*-algebras of infinite graphs
Teresa Bates, Jeong Hee Hong, Iain Raeburn +1
We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge…