Haagerup approximation property for finite von Neumann algebras
Author(s)
Date issued
2002
In
Journal of Operator Theory
Vol
3
No
48
From page
549
To page
571
Subjects
von Neumann algebras completely positive maps Haagerup property crossed products VONNEUMANN-ALGEBRAS INDEX SUBFACTORS
Abstract
We study finite von Neumann algebras M that admit an approximate identity made with completely positive normal maps whose extention to L-2(M) are compact operators. We prove heredity results, and we state sufficient conditions on actions of countable groups to ensure that the crossed product algebras have the same property.
Publication type
journal article