45 citations · 198 across the 112 of their papers we have counts for
7 papers · 1 filter
Property (T), property (F) and residual finiteness for discrete quantum groups
Angshuman Bhattacharya, Michael Brannan, Alexandru Chirvasitu +1
We investigate connections between various rigidity and softness properties for discrete quantum groups. After introducing a notion of residual finiteness, we show that it implies…
Modelling questions for transitive quantum groups
Teo Banica, Alexandru Chirvasitu
This is a survey on the transitive quantum groups , and on the flat matrix models for the corresponding Hopf algebras. We review the known res…
Representation categories of Mackey Lie algebras as universal monoidal categories
Alexandru Chirvasitu, Ivan Penkov
Let be an algebraically closed field of characteristic . We study a monoidal category which is universal among all symmetric -linear mono…
Ergodic actions of the compact quantum group
Alexandru Chirvasitu, Souleiman Omar Hoche
Among the ergodic actions of a compact quantum group on possibly non-commutative spaces, those that are {\it embeddable} are the natural analogues of actions of a comp…
Quasi-flat representations of uniform groups and quantum groups
Teodor Banica, Alexandru Chirvasitu
Given a discrete group and a number , a unitary representation is called quasi-flat when the eigenvalues of each ar…
Thoma type results for discrete quantum groups
Teodor Banica, Alexandru Chirvasitu
Thoma's theorem states that a group algebra is of type I if and only if is virtually abelian. We discuss here some similar questions for the quantum groups, our main r…
Topological automorphism groups of compact quantum groups
Alexandru Chirvasitu, Issan Patri
We study the topological structure of the automorphism groups of compact quantum groups showing that, in parallel to a classical result due to Iwasawa, the connected component of i…