2006
Itzá-Ortiz, B., The C*-algebras associated to time-t automorphisms of maping tori, J. Operator Theory, (56) 2006, 403--421. Preprinted
Abstract
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.
Una Conjetura de Polya y Szego para el Tono Fundamental de Membranas Poligonales
Eigenvalues, K-theory and Minimal Flows
PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS
CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS
Slow decay of end effects in layered structures with an imperfect interface
Propagation of Elastic Waves along Interfaces in Layered Beams
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle
BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI