1. CMB 2016 (vol 59 pp. 320)
||Perturbations of Von Neumann Subalgebras with Finite Index|
In this paper, we study uniform perturbations of von Neumann
subalgebras of a von Neumann algebra.
Let $M$ and $N$ be von Neumann subalgebras of a von Neumann algebra
with finite probabilistic index in the sense of Pimsner-Popa.
If $M$ and $N$ are sufficiently close,
then $M$ and $N$ are unitarily equivalent.
The implementing unitary can be chosen as being close to the
Keywords:von Neumann algebras, perturbations