On Følner nets and crossed products

Details On Følner nets and crossed products On Følner nets and crossed products

2010-08-06

arxiv.org/abs/1008.1151v1

Mathematics

Operator Algebras

12 pages

Scientific paper

Let M be a von Neumann algebra that has a F{\o}lner net. In the present
article we give conditions that guarantee that the von Neumann crossed product
of M with an amenable discrete group has a F{\o}lner net. The F{\o}lner net for
the crossed product is given explicitly and the result is applied to the
rotation algebra.

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