On Følner nets and crossed products Articles uri icon

publication date

  • June 2010

start page

  • 1

end page

  • 12

International Standard Serial Number (ISSN)

  • WWWW-0074


  • 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.


  • crossed products; von neumann algebras; følner sequences; quasidiagonality; amenable groups; rotation algebra