Add to ORKGIn this talk I will present joint work with Andreas Thom on bounded normal generation (BNG) for projective unitary groups of von Neumann algebras. We say that a group has (BNG) if the conjugacy class of every nontrivial element and of its inverse generate the whole group in finitely many steps. After explaining how one can prove (BNG) for the projective unitary group of a finite factor, I will present applications to automatic continuity of homomorphisms with SIN target groups. The talk will be closed with recent results on the Bergman property for unitary groups of II_1 factors and countable cofinality for compact connected Lie groups.Non UBCUnreviewedAuthor affiliation: Katholieke Universiteit LeuvenPostdoctora
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We prove that a discrete group $G$ is amenable if and only if it is strongly unitarizable in the fol...
We show that if a group G is mixed-identity-free, then the projective unitary group of its group von...
In this talk I will present joint work with Andreas Thom on bounded normal generation (BNG) for proj...
The thesis is concerned with group theoretical properties of unitary groups, mainly of II_1 factors....
We show that some derived L¹ full groups provide examples of non simple Polish groups with the topol...
In the first lecture, I will review basic notions and constructions of von Neumann algebras. The sec...
Given a group G, we write x^G for the conjugacy class of G containing the element x. A famous theore...
To every countable group G is associated the group von Neumann algebra LG generated by the left tran...
Abstract. In purely infinite factors, P. de la Harpe proved that a normal subgroup of the unitary gr...
This note presents a new proof of the fact that every uniformly bounded group of invertible elements...
Von Neumann algebra theory is a branch of functional analysis dealing with weakly closed algebras of...
A conjecture of A. Mann asks if every finitely generated profinite group that is PFG has PBMN. Here ...
For an inclusion N \subseteq M of finite von Neumann algebras, we study the group of normalizers N_...
Using computations in the bidual of $\mathbb{B}(L^2M)$ we develop a new technique at the von Neumann...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We prove that a discrete group $G$ is amenable if and only if it is strongly unitarizable in the fol...
We show that if a group G is mixed-identity-free, then the projective unitary group of its group von...
In this talk I will present joint work with Andreas Thom on bounded normal generation (BNG) for proj...
The thesis is concerned with group theoretical properties of unitary groups, mainly of II_1 factors....
We show that some derived L¹ full groups provide examples of non simple Polish groups with the topol...
In the first lecture, I will review basic notions and constructions of von Neumann algebras. The sec...
Given a group G, we write x^G for the conjugacy class of G containing the element x. A famous theore...
To every countable group G is associated the group von Neumann algebra LG generated by the left tran...
Abstract. In purely infinite factors, P. de la Harpe proved that a normal subgroup of the unitary gr...
This note presents a new proof of the fact that every uniformly bounded group of invertible elements...
Von Neumann algebra theory is a branch of functional analysis dealing with weakly closed algebras of...
A conjecture of A. Mann asks if every finitely generated profinite group that is PFG has PBMN. Here ...
For an inclusion N \subseteq M of finite von Neumann algebras, we study the group of normalizers N_...
Using computations in the bidual of $\mathbb{B}(L^2M)$ we develop a new technique at the von Neumann...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We prove that a discrete group $G$ is amenable if and only if it is strongly unitarizable in the fol...
We show that if a group G is mixed-identity-free, then the projective unitary group of its group von...