18 research outputs found
Poisson brackets and Poisson spectra in polynomial algebras
Poisson brackets on the polynomial algebra C[x,y,z] are studied. A
description of all such brackets is given and, for a significant class of
Poisson brackets, the Poisson prime ideals and Poisson primitive ideals are
determined. The results are illustrated by numerous examples.Comment: includes minor corrections to published versio
Equivalence bimodule between non-commutative tori
summary:The non-commutative torus is realized as the -algebra of sections of a locally trivial -algebra bundle over with fibres isomorphic to for a totally skew multiplier on . D. Poguntke [9] proved that is stably isomorphic to for a simple non-commutative torus and an integer . It is well-known that a stable isomorphism of two separable -algebras is equivalent to the existence of equivalence bimodule between them. We construct an --equivalence bimodule