D. Hoff

activity

20152019

collaborators

3 papers

math.OA2019

Maximal rigid subalgebras of deformations and $L^{2}$ -cohomology

Rolando de Santiago, Ben Hayes, Daniel J. Hoff +1

In the past two decades, Sorin Popa's breakthrough deformation/rigidity theory has produced remarkable rigidity results for von Neumann algebras $M$ which can be deformed inside a…

math.OA2016

Prime II $_{1}$ factors arising from irreducible lattices in products of rank one simple Lie groups

Daniel Drimbe, Daniel Hoff, Adrian Ioana

We prove that if $Γ$ is an icc irreducible lattice in a product of connected non-compact rank one simple Lie groups with finite center, then the II $_{1}$ factor $L (Γ)$ is prime. In p…

math.DS2015

von Neumann's problem and extensions of non-amenable equivalence relations

Lewis Bowen, Daniel Hoff, Adrian Ioana

The goals of this paper are twofold. First, we generalize the result of Gaboriau and Lyons [GL07] to the setting of von Neumann's problem for equivalence relations, proving that fo…

Maximal rigid subalgebras of deformations and L2-cohomology

Prime II1​ factors arising from irreducible lattices in products of rank one simple Lie groups

von Neumann's problem and extensions of non-amenable equivalence relations

Maximal rigid subalgebras of deformations and $L^{2}$ -cohomology

Prime II $_{1}$ factors arising from irreducible lattices in products of rank one simple Lie groups