1 citations · 2 across the 3 of their papers we have counts for
6 papers
Hopf-cyclic homology and cohomology with coefficients
P. M. Hajac, M. Khalkhali, B. Rangipour +1
Following the idea of an invariant differential complex, we construct general-type cyclic modules that provide the common denominator of known cyclic theories. The cyclicity of the…
The Chern-Galois character
Tomasz Brzezinski, Piotr M. Hajac
Following the idea of Galois-type extensions and entwining structures, we define the notion of a principal extension of noncommutative algebras. We show that modules associated to…
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…
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…
Algebraic of the Quantum Sphere and Noncommutative Index Theorem
Piotr M. Hajac
The Noncommutative Index Theorem is used to prove that the Chern character of quantum Hopf line bundles over the standard Podles quantum sphere equals the winding number of the rep…
Frame, cotangent and tangent bundles of the quantum plane
P. M. Hajac, R. Matthes
We construct a quantum frame bundle of the quantum plane by requiring that a -covariant differential calculus on be isomorphic as a bimodule to the spa…