11,562 research outputs found
Measures and dynamics on Noetherian spaces
We give an explicit description of all finite Borel measures on Noetherian
topological spaces X, and characterize them as objects dual to a space of
functions on X. We use these results to study the asymptotic behavior of
continuous dynamical systems on Noetherian spaces.Comment: Minor revisions, results remain the same. To appear in the Journal of
Geometric Analysi
Higher algebraic K-theory of group actions with finite stabilizers
We prove a decomposition theorem for the equivariant K-theory of actions of
affine group schemes G of finite type over a field on regular separated
noetherian algebraic spaces, under the hypothesis that the actions have finite
geometric stabilizers and satisfy a rationality condition together with a
technical condition which holds e.g. for G abelian or smooth. We describe in an
Appendix various complicial bi-Waldhausen categories (in Thomason's
terminology) modelling the equivariant K-theory of regular noetherian separated
algebraic spaces.Comment: 39 pages, no figures, ScientificWord 2.0. Final revised version
accepted for publication in Duke Math.
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