Right $\ell$-groups associated with von Neumann algebras
Quantum Algebra
2020-01-31 v2 Operator Algebras
Abstract
In [Rum18], Rump defined and characterized noncommutative universal groups for generalized orthomodular lattices . We give an explicit construction of in terms of \emph{pure paraunitary groups} when is the projection lattice of a von Neumann algebra. The results given here extend some of those in [Die19].
Cite
@article{arxiv.2001.07750,
title = {Right $\ell$-groups associated with von Neumann algebras},
author = {Carsten Dietzel},
journal= {arXiv preprint arXiv:2001.07750},
year = {2020}
}
Comments
22 pages; comments are welcome! Changes in the second version: appearance has been changed; slight errors have been removed; acknowledgements have been added