Producción Científica Profesorado

CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS



Itzá Ortiz, Benjamín Alfonso

2009

Itzá-Ortiz, B., Continuous and discrete flows on operator algebras, Journal of the Australian Mathematical Society 86 (2009), 169--176. Preprinted


Abstract


Let (N, R, ) be a centrally ergodic W* dynamical system. When N is not a factor, we show that, for each t 6= 0, the crossed product induced by the time t automorphism t is not a factor if and only if there exist a rational number r and an eigenvalue s of the restriction of to the center of N, such that rst = 2. In the C* setting, minimality seems to be the notion corresponding to central ergodicity. We show that if (A, R, ) is a minimal unital C* dynamical system and A is either prime or commutative but not simple, then, for each t 6= 0, the crossed product induced by the time t automorphism t is not simple if and only if there exist a rational number r and an eigenvalue s of the restriction of to the center of A, such that rst = 2.



Producto de Investigación UAEH




Artículos relacionados

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

BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks

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

PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS

CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS

Eigenvalues, K-theory and Minimal Flows

Una Conjetura de Polya y Szego para el Tono Fundamental de Membranas Poligonales

Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle

Multichannel Detrended Fluctuation Analysis Reveals Synchronized Patterns of Spontaneous Spinal Acti...

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