Jan Rudnik

activity

20112015

most citedNoncommutative bundles over the multi-pullback quantum complex projective plane

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.KT2015★ 4 cited

Noncommutative bundles over the multi-pullback quantum complex projective plane

Piotr M. Hajac, Jan Rudnik

We equip the multi-pullback $C^{*}$ -algebra $C (S_{H}^{5})$ of a noncommutative-deformation of the 5-sphere with a free $U (1)$ -action, and show that its fixed-point subalgebra is isomorph…

math.KT2012

The K-theory of the triple-Toeplitz deformation of the complex projective plane

Jan Rudnik

We consider a family $π_{j}^{i} : B_{i} \to B_{ij} = B_{j i}$ , $i, j \in {1, 2, 3}$ , $i \neq = j$ , of $C^{*}$ -epimorphisms assuming that it satisfies the cocycle condition. Then we show…

math.QA2011

Reductions of piecewise-trivial principal comodule algebras

Piotr M. Hajac, Jan Rudnik, Bartosz Zielinski

Let $G^{'}$ be a closed subgroup of a topological group $G$ . A principal $G$ -bundle $X$ is reducible to a locally trivial principal $G^{'}$ -bundle $X^{'}$ if and only if there exists a loca…