Producción Científica Profesorado

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.

BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks

REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA

D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory

Slow decay of end effects in layered structures with an imperfect interface

Eigenvalues, K-theory and Minimal Flows

Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle

Quasi-periodic breathers in Hamiltonian networks of long-range coupling

THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI

PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS