Geodesic
Berg's Technique for Pseudo-Actions With Applications to af Embeddings
Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 119-157

Voir la notice de l'article provenant de la source Cambridge University Press

Berg's interchange technique is generalized to the context of certain new objects called pseudo-actions. This is used to find a more geometric proof of the Pimsner-Voiculescu theorem on the AF embedding of the irrational rotation algebras. Connections with Berg's original results are briefly examined.Embedding diagrams are introduced to provide a uniform way of describing embeddings of transformation group C*-algebras C(X) ⋊ Z into AF algebras. Pimsner has classified the transformation group C* -algebras which can be AF embedded. We present a new proof of this result using embedding diagrams and pseudo-actions. The need to calculate the join of an open cover with its iterates under the transformation has been eliminated.
DOI : 10.4153/CJM-1991-008-5
Mots-clés : 46L05, 47A55, 54H20, Berg's technique, AF algebra, AF embedding, transformation group C*-algebra 
Loring, Terry A. Berg's Technique for Pseudo-Actions With Applications to af Embeddings. Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 119-157. doi: 10.4153/CJM-1991-008-5
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