10 citations · 31 across the 20 of their papers we have counts for
21 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…
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…
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…
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…
Support Feature Machines
Tomasz Maszczyk, Włodzisław Duch
Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive…
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…