Mathematics – Operator Algebras
Scientific paper
2005-02-08
J. Operator Theory, (56) 2006, 403--421
Mathematics
Operator Algebras
Scientific paper
We find the range of a trace on the $K_0$ group of a crossed product by a time-$t$ automorphism of a mapping torus. We also find a formula to compute the Voiculescu-Brown entropy for such an automorphism. By specializing to the commutative setting, we prove that the crossed products by minimal time-t homeomorphisms of suspensions built over strongly orbit equivalent Cantor minimal systems have isomorphic Elliott invariants. As an application of our results we give examples of dynamical systems on (compact metric) connected 1-dimensional spaces which are not flip conjugate (because of different entropy) yet their associated crossed products have isomorphic Elliott invariants.
No associations
LandOfFree
The C*-algebras Associated to Time-$t$ Automorphisms of Mapping Tori 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 The C*-algebras Associated to Time-$t$ Automorphisms of Mapping Tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The C*-algebras Associated to Time-$t$ Automorphisms of Mapping Tori will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-722163