4 papers
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…
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…
Pullback of quantum principal bundles
Francesco D'Andrea, Tomasz Maszczyk
We introduce an abstract framework of Cartesian squares beyond the context of fiber products, and use it to extend the notion of pullback from classical to compact quantum principa…
Introduction to Quantum Combinatorics
Tomasz Maszczyk
We construct a topos of quantum sets and embed into it the classical topos of sets. We show that the internal logic of the topos of sets, when interpreted in the topos of quantum s…