65 citations · 203 across the 37 of their papers we have counts for
5 papers · 2 filters
On quantum maps into quantum semigroups
Piotr M. Soltan
We analyze the recent examples of quantum semigroups defined by M.M. Sadr who also brought up several open problems concerning these objects. These are defined as quantum families…
Property (T) and exotic quantum group norms
David Kyed, Piotr M. Sołtan
Utilizing the notion of property (T) we construct new examples of quantum group norms on the polynomial algebra of a compact quantum group, and provide criteria ensuring that these…
On actions of compact quantum groups
Piotr M. Sołtan
We compare algebraic objects related to a compact quantum group action on a unital C*-algebra in the sense of Podleś and Baum et al. and show that they differ by the kernel of the…
When is a quantum space not a group?
Piotr M. Sołtan
We give a survey of techniques from quantum group theory which can be used to show that some quantum spaces (objects of the category dual to the category of -algebras…
Examples of non-compact quantum group actions
Piotr M. Sołtan
We present two examples of actions of non-regular locally compact quantum groups on their homogeneous spaces. The homogeneous spaces are defined in a way specific to these examples…