Noncommutative lattices have been recently used as nite topological approximations in quantum physical models. As a rst step in the construction of bundles and characteristic classes over such noncommutative spaces, we shall study their K-theory. We shall do it algebraically, by studying the algebraic K-theory of the associated algebras of`continuous functions' which turn out to be noncommutati...

Localization and stability results for the higher order and singular Kobayashi metrics are established in this paper. As an application we obtain the nontangential weighted limits of these metrics in an h-extendible boundary point of a domain in C n :

It is shown that automorphisms of some factors of type III , with 0 < 1, corresponding to Kolmogorov quantum dynamical systems of entropic type are strongly clustering.

A global existence theorem is presented for a kinetic problem of the form @ t f + v r x f = Q(f) ; f (t = 0) = f 0 ; where Q(f) is a simpliied model wave-particle collision operator extracted from quasi-linear plasma physics. Evaluation of Q(f) requires the computation of the mean velocity of the distribution f. Therefore, the assumptions on the data are such that vacuum regions, where the mean...

Available via anonymous ftp or gopher from FTP. Abstract This paper studies the perturbation of a Lie-Poisson (or, equivalently an Euler-Poincar e) system by a special dissipation term that has Brockett's double bracket form. We show that a formally unstable equilibrium of the un-perturbed system becomes a spectrally and hence nonlinearly unstable equilibrium after the perturbation is added. We...