Bachir Bekka

activity

20162025

most citedHarmonic cocycles, von Neumann algebras, and irreducible affine isometric actions

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.RT2025

Canonical Commutation Relations: A quick proof of the Stone-von Neumann theorem and an extension to general rings

Bachir Bekka

Let $R$ be a (not necessary commutative) ring with unit, $d \geq 1$ an integer, and $λ$ a unitary character of the additive group $(R, +) .$ A pair $(U, V)$ of unitary representations…

math.GR2023

On Bohr compactifications and profinite completions of group extensions

Bachir Bekka

Let $G = N ⋊ H$ be a locally compact group which is a semi-direct product of a closed normal subgroup $N$ and a closed subgroup $H .$ The Bohr compactification $Bohr (G)$ a…

math.GR2023★ 1 cited

The Bohr compactification of an arithmetic group

Bachir Bekka

Given a group $Γ,$ its Bohr compactification $Bohr (Γ)$ and its profinite completion $Prof (Γ)$ are compact groups naturally associated to $Γ$ ; moreover…

math.GR2016★ 1 cited

Harmonic cocycles, von Neumann algebras, and irreducible affine isometric actions

Bachir Bekka

Let $G$ be a compactly generated locally compact group and $(π, H)$ a unitary representation of $G .$ The $1$ -cocycles with coefficients in $π$ which are harmonic (with res…