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math.KT2003★ 1 cited
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…
math.KT2003★ 1 cited
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…
math.KT1998
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…