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.
Eigenvalues, K-theory and Minimal Flows
REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
Una Conjetura de Polya y Szego para el Tono Fundamental de Membranas Poligonales
BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks
D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle
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