Producción Científica Profesorado

Eigenvalues, K-theory and Minimal Flows



Itzá Ortiz, Benjamín Alfonso

2007

Itzá-Ortiz, B., Eigenvalues, K-theory and minimal flows, Canad. J. Math. 59(2007), 596-613. Preprinted


Abstract


Let (Y, T) be a minimal suspension flow built over a dynamical system (X, S) and with (strictly positive, continuous) ceiling function f : X ! R. We show that the eigenvalues of (Y, T) are contained in the range of a trace on the K0-group of (X, S). Moreover, a trace gives an order isomorphism of a subgroup of K0 (C(X) ?S Z) with the group of eigenvalues of (Y, S). Using this result, we relate the values of t for which the time-t map on minimal suspension flow is minimal, with the K-theory of the base of this suspension.



Producto de Investigación UAEH




Artículos relacionados

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

Propagation of Elastic Waves along Interfaces in Layered Beams

BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks

Matematicas en la distribucion espacial de poblaciones

Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle

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

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

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

CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS

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