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.
CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
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
PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS
Slow decay of end effects in layered structures with an imperfect interface
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle