86 citations · 285 across the 46 of their papers we have counts for
16 papers · 1 filter
Milnor meets Hopf and Toeplitz at the K-theory of quantum projective planes
Francesco D'Andrea, Piotr M. Hajac, Tomasz Maszczyk +1
We explore applications of the celebrated construction of the Milnor connecting homomorphism from the odd to the even K-groups in the context of Hopf--Galois theory. For a finitely…
Quantum CW-complexes in a Waldhausen category for unital C*-algebras
Francesco D'Andrea, Piotr M. Hajac, Tomasz Maszczyk +2
Using the ring structure of the K-groups of finite CW-complexes, Atiyah and Todd unravelled the K-theory of complex projective spaces . Herein, in the realm of noncommutative…
Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces
Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
By a diagonal embedding of in , we prolongate the diagonal circle action on the Vaksman-Soibelman quantum sphere to the -action on the prolong…
The cyclic-homology Chern-Weil homomorphism for principal coactions
Piotr M. Hajac, Tomasz Maszczyk
We view the space of cotraces in the structural coalgebra of a principal coaction as a noncommutative counterpart of the classical Cartan model. Then we define the cyclic-homology…
An equivariant pullback structure of trimmable graph C*-algebras
Francesca Arici, Francesco D'Andrea, Piotr M. Hajac +1
We prove that the graph C*-algebra of a trimmable graph is -equivariantly isomorphic to a pullback C*-algebra of a subgraph C*-algebra and the C*-alge…
Rank-two Milnor idempotents for the multipullback quantum complex projective plane
Carla Farsi, Piotr M. Hajac, Tomasz Maszczyk +1
The -group of the C*-algebra of multipullback quantum complex projective plane is known to be , with one generator given by the C*-algebra itself, one given by t…