2 citations · 4 across the 6 of their papers we have counts for
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L^2-Invariants and rank metric
Andreas Thom
We introduce a notion of rank completion for bi-modules over a finite tracial von Neumann algebra. We show that the functor of rank completion is exact and that the category of com…
A remark about the Connes fusion tensor product
Andreas Thom
We analyze the algebraic structure of the Connes fusion tensor product (CFTP) in the case of bi-finite Hilbert modules over a von Neumann algebra M. It turns out that all complicat…
L^2-cohomology for von Neumann algebras
Andreas Thom
We study L^2-Betti numbers for von Neumann algebras, as defined by D. Shlyakhtenko and A. Connes. We give a definition of L^2-cohomology and show how the study of the first L^2-Bet…
L^2-Betti numbers for subfactors
Andreas Thom
We study L^2-Betti numbers for von Neumann algebras, as defined by D. Shlyakhtenko and A. Connes, in the presence of a bi-finite correspondence and prove a proportionality formula.