منابع مشابه
Partial Dynamical Systems and Af C * -algebras
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 tha...
متن کاملExtensions for Af C* Algebras and Dimension Groups
Let A, C be approximately finite dimensional (AF) C* algebras, with A nonunital and C unital; suppose that either (i) A is the algebra of compact operators, or (ii) both A, C are simple. The classification of extensions of A by C is studied here, by means of Elliott's dimension groups. In case (i), the weak Ext group of C is shown to be Extz( K0(C),Z), and the strong Ext group is an extension o...
متن کاملTOPOLOGICAL ENTROPY AND AF SUBALGEBRAS OF Graph C*-algebras
Abstract. Let AE be the canonical AF subalgebra of a graph C ∗-algebra C∗(E) associated with a locally finite directed graph E. For Brown-Voiculescu’s topological entropy ht(ΦE) of the canonical completely positive map ΦE on C∗(E), ht(ΦE) = ht(ΦE |AE ) = hl(E) = hb(E) is known to hold for a finite graph E, where hl(E) is the loop entropy of Gurevic and hb(E) is the block entropy of Salama. For ...
متن کاملMinimal Bratteli Diagrams and Dimension Groups of Af C-algebras
A method is described which identifies a wide variety of AF algebra dimension groups with groups of continuous functions. Since the continuous functions in these groups have domains which correspond to the set of all infinite paths in what will be called minimal Bratteli diagrams, it becomes possible, in some cases, to analyze the dimension group’s order preserving automorphisms by utilizing th...
متن کاملGeodesic laminations and Bratteli diagrams of AF C*-algebras
Geodesic laminations is a remarkable abstraction (due to W. P. Thurston) of many otherwise unrelated phenomena occurring in differential geometry, complex analysis and geometric topology. In this article we focus on connections of geodesic laminations with the inductive limits of finite-dimensional semi-simple C-algebras (AF C-algebras). Our main result is a bijection between combinatorial pres...
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ژورنال
عنوان ژورنال: Sønderjydske Årbøger
سال: 1924
ISSN: 0106-4452
DOI: 10.7146/soenderjydskeaarboeger.v36i2.80759