Generalized CCR Flows

Details Generalized CCR Flows Generalized CCR Flows

2007-05-23

arxiv.org/abs/0705.3280v1

Mathematics

Operator Algebras

45 pages

Scientific paper

10.1007/s00220-008-0447-z

We introduce a new construction of $E_0$-semigroups, called generalized CCR flows, with two kinds of descriptions: those arising from sum systems and those arising from pairs of $C_0$-semigroups. We get a new necessary and sufficient condition for them to be of type III, when the associated sum system is of finite index. Using this criterion, we construct examples of type III $E_0$-semigroups, which can not be distinguished from $E_0$-semigroups of type I by the invariants introduced by Boris Tsirelson. Finally, by considering the local von Neumann algebras, and by associating a type III factor to a given type III $E_0$-semigroup, we show that there exist uncountably many type III $E_0$-semigroups in this family, which are mutually non-cocycle conjugate.

Affiliated with

Also associated with

No associations

Rating

Generalized CCR Flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized CCR Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized CCR Flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401218