Affiliation:
1. Institute of Geometry , TU Dresden , 01062 Dresden , Germany
Abstract
Abstract
We show that unitary groups of
II
1
{\mathrm{II}_{1}}
factors and of properly infinite von Neumann algebras have uncountable cofinality and the Bergman property. In particular, we obtain a short alternative proof for the strong uncountable cofinality of
U
(
ℓ
2
(
ℕ
)
)
{\mathrm{U}(\ell^{2}(\mathbb{N}))}
, which was first proven by Ricard and Rosendal.
Funder
FP7 Ideas: European Research Council
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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