Partial Dynamical Systems and Af C * -algebras
نویسنده
چکیده
We obtain a characterization in terms of dynamical systems of those r-discrete groupoids for which the groupoid C∗algebra is approximately finite-dimensional (AF). These ideas are then used to compute the K-theory for AF algebras by utilizing the actions of these partial homeomorphisms, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that, for a certain class of dimension groups, a groupoid can be obtained directly from the dimension group’s structure whose associated C∗-algebra has K0 group isomorphic to the original dimension group.
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