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.
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory
Quasi-periodic breathers in Hamiltonian networks of long-range coupling
Matematicas en la distribucion espacial de poblaciones
CONTINUOUS AND DISCRETE FLOWS ON OPERATOR ALGEBRAS
Slow decay of end effects in layered structures with an imperfect interface
Una Conjetura de Polya y Szego para el Tono Fundamental de Membranas Poligonales
Eigenfunction expansions and spectral projections for isotropic elasticity outside an obstacle
Eigenvalues, K-theory and Minimal Flows
REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA