Itzá-Ortiz, B., The C*-algebras associated to time-t automorphisms of maping tori, J. Operator Theory, (56) 2006, 403--421. Preprinted
We find the range of a trace on the K0 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.
CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS
Multichannel Detrended Fluctuation Analysis Reveals Synchronized Patterns of Spontaneous Spinal Acti...
PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS
BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks
Propagation of Elastic Waves along Interfaces in Layered Beams
Quasi-periodic breathers in Hamiltonian networks of long-range coupling
D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory
Matematicas en la distribucion espacial de poblaciones
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA