D. Hoff

activity

20152019

_{1}

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

5 citations · 9 across the 2 of their papers we have counts for

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math.OA2019★ 4 cited

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★ 5 cited

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.OA2015

Von Neumann Algebras of Equivalence Relations with Nontrivial One-Cohomology

Daniel J. Hoff

Using Popa's deformation/rigidity theory, we investigate prime decompositions of von Neumann algebras of the form $L (R)$ for countable probability measure preserving equi…

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 Algebras of Equivalence Relations with Nontrivial One-Cohomology

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