|
|||||
|
|
|
|
|
|
|
|
|
Groups of
∗-automorphisms and
invariant maps of von Neumann algebras
Kazuyuki Saitô |
|
Vol. 57 (1975), No. 2, 553–558
|
Abstract |
|
Let M be a von Neumann algebra and let G be a group acting on M by ⋆-automorphisms of M. M is G-finite if for every nonnegative element a in M with a≠0, there exists a G-invariant normal state ϕ such that ϕ(a)≠0. The main result in this paper asserts that M is G-finite if and only if for every weakly relatively compact subset K of the predual of M, the orbit of K under G is also weakly relatively compact. |
Mathematical Subject Classification 2000
Primary: 46L10
|
Milestones
Received: 4 March 1974
Revised: 3 March 1975
Published: 1 April 1975
|
Authors |
| Kazuyuki Saitô | |
|
