M. Tobolski

activity

20162026

most citedLie-Hamilton systems on curved spaces: A geometrical approach

18 citations · 42 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.OA2018

Pullbacks of graph C*-algebras from admissible pushouts of graphs

Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski

We define an admissible decomposition of a graph $E$ into subgraphs $F_{1}$ and $F_{2}$ , and consider the intersection graph $F_{1} \cap F_{2}$ as a subgraph of both $F_{1}$ and $F_{2}$ . We pro…

math.KT2018

Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces

Francesca Arici, Piotr M. Hajac, Mariusz Tobolski

By a diagonal embedding of $U (1)$ in $S U_{q} (m)$ , we prolongate the diagonal circle action on the Vaksman-Soibelman quantum sphere $S_{q}^{2 n + 1}$ to the $S U_{q} (m)$ -action on the prolong…

math.RA2018

A graded pullback structure of Leavitt path algebras of trimmable graphs

Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski

Motivated by recent results in graph C*-algebras concerning an equivariant pushout structure of the Vaksman-Soibelman quantum odd spheres, we introduce a class of graphs called tri…

math.OA2018★ 2 cited

The local-triviality dimension of actions of compact quantum groups

Eusebio Gardella, Piotr M. Hajac, Mariusz Tobolski +1

We define the local-triviality dimension for actions of compact quantum groups on unital C*-algebras. The resulting compact quantum principal bundle is said to be locally trivial w…