|
|||||
|
|
|
|
|
|
|
|
|
Asymptotic lifts of
positive linear maps
William Arveson and Erling Størmer |
|
Vol. 233 (2007), No. 1, 1–14
|
Abstract |
|
We show that the notion of asymptotic lift generalizes naturally to normal positive maps ϕ : M → M acting on von Neumann algebras M. We focus on cases in which the domain of the asymptotic lift can be embedded as an operator subsystem M∞⊆ M and characterize when M∞ is a Jordan subalgebra of M in terms of the asymptotic multiplicative properties of ϕ. |
Keywords
von Neumann algebras, positive maps, ergodic theory,
asymptotic lifts
|
Mathematical Subject Classification 2000
Primary: 46L55
Secondary: 46L40
|
Milestones
Received: 15 November 2006
Accepted: 9 July 2007
Published: 1 November 2007
|
Authors |
| William Arveson | |
| Department of Mathematics University of California Berkeley, CA 94720 United States |
|
| http://math.berkeley.edu/~arveson/ | |
| Erling Størmer | |
| University of Oslo P.O. Box 1053 0316 Oslo Norway |
|
|
