Geodesic
Purely Infinite Simple C*-Crossed Products II
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 203-210

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

We study the pure infiniteness of C* -crossed products by endomorphisms and automorphisms. Let A be a purely infinité simple unital C*-algebra. At first we show that a crossed product A × p N by a corner endomorphism p is purely infinite if it is simple. From this observation we prove that any simple C*-crossed products A ×αZ by an automorphism α is purely infinite. Combining this with the result in [Je] on pure infiniteness of crossed products by finite groups, one sees that if α is an outer action by a countable abelian group G then the simple C*-algebra A ×α G is purely infinite.
DOI : 10.4153/CMB-1996-025-2
Mots-clés : 46L05, 46L55 
Jeong, JA A.; Kodaka, Kazunori; Osaka, Hiroyuki. Purely Infinite Simple C*-Crossed Products II. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 203-210. doi: 10.4153/CMB-1996-025-2
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-025-2/}
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