Purely Infinite Simple C*-Crossed Products II
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 203-210
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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.
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
@article{10_4153_CMB_1996_025_2,
author = {Jeong, JA A. and Kodaka, Kazunori and Osaka, Hiroyuki},
title = {Purely {Infinite} {Simple} {C*-Crossed} {Products} {II}},
journal = {Canadian mathematical bulletin},
pages = {203--210},
year = {1996},
volume = {39},
number = {2},
doi = {10.4153/CMB-1996-025-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-025-2/}
}
TY - JOUR AU - Jeong, JA A. AU - Kodaka, Kazunori AU - Osaka, Hiroyuki TI - Purely Infinite Simple C*-Crossed Products II JO - Canadian mathematical bulletin PY - 1996 SP - 203 EP - 210 VL - 39 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-025-2/ DO - 10.4153/CMB-1996-025-2 ID - 10_4153_CMB_1996_025_2 ER -
%0 Journal Article %A Jeong, JA A. %A Kodaka, Kazunori %A Osaka, Hiroyuki %T Purely Infinite Simple C*-Crossed Products II %J Canadian mathematical bulletin %D 1996 %P 203-210 %V 39 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-025-2/ %R 10.4153/CMB-1996-025-2 %F 10_4153_CMB_1996_025_2
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