From the 1 of 8 linked papers with an AI index.
8 papers
Quantum isometry groups of log-Laplacians on Cuntz--Krieger algebras
Amaury Freslon, Dimitris Michail Gerontogiannis, Adam Skalski
The paper determines the quantum isometry groups of Cuntz‑Krieger algebras equipped with spectral triples derived from the Ahlfors‑regular structure of the underlying topological M…
Asymptotic invariants for fusion algebras associated with compact quantum groups
Jacek Krajczok, Adam Skalski
We introduce and study certain asymptotic invariants associated with fusion algebras (equipped with a dimension function), which arise naturally in the representation theory of com…
A quantum Frucht's theorem and quantum automorphisms of quantum Cayley graphs
Michael Brannan, Daniel Gromada, Junichiro Matsuda +2
We establish a quantum version of Frucht's Theorem, proving that every finite quantum group is the quantum automorphism group of an undirected finite quantum graph. The constructio…
Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products
Tattwamasi Amrutam, Artem Dudko, Yongle Jiang +1
We study the ISR (von Neumann invariant subalgebra rigidity) property for certain discrete groups arising as semidirect products from algebraic actions on certain 2-torsion groups,…
Gaussian Generating functionals on easy quantum groups
Uwe Franz, Amaury Freslon, Adam Skalski
We describe all Gaussian generating functionals on several easy quantum groups given by non-crossing partitions. This includes in particular the free unitary, orthogonal and symple…
Tracial central states on compact quantum groups
Amaury Freslon, Adam Skalski, Simeng Wang
Motivated by classical investigation of conjugation invariant positive-definite functions on discrete groups, we study tracial central states on universal C*-algebras associated wi…