Embedding some transformation group C*-algebras into AF-algebras
نویسندگان
چکیده
منابع مشابه
The Topology on the Primitive Ideal Space of Transformation Group C # - Algebras and C.C.R. Transformation Group C # -Algebras
If (G, 8) is a second countable transformation group and the stability groups are amenable then C*(G, 8) is C.C.R. if and only if the orbits are closed and the stability groups are C.C.R. In addition, partial results relating closed orbits to C.C.R. algebras are obtained in the nonseparable case. In several cases, the topology of the primitive ideal space is calculated explicitly. In particular...
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Let A be a unital AH-algebra and let α ∈ Aut(A) be an automorphism. A necessary condition for A ⋊α Z being embedded into a unital simple AF-algebra is the existence of a faithful tracial state. If in addition, there is an automorphism κ with κ∗1 = −idK1(A) such that α ◦ κ and κ ◦ α are asymptotically unitarily equivalent, then A⋊α Z can be embedded into a unital simple AF-algebra. Consequently,...
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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...
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Suppose we wish to embed an (associative) k-algebra A in a k-algebra R generated in some specified way; e.g., by two elements, or by copies of given k-algebras A1, A2, A3. Several authors have obtained sufficient conditions for such embeddings to exist. We prove here some further results on this theme. In particular, we merge the ideas of existing constructions based on two generating elements,...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1983
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700002182