TY - JOUR
T1 - The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups
AU - Katsura, Takeshi
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/12
Y1 - 2003/12
N2 - We completely determine the ideal structures of the crossed products of Cuntz algebras by quasi-free actions of abelian groups and give another proof of A. Kishimoto's result on the simplicity of such crossed products. We also give a necessary and sufficient condition that our algebras become primitive, and compute the Connes spectra and K-groups of our algebras.
AB - We completely determine the ideal structures of the crossed products of Cuntz algebras by quasi-free actions of abelian groups and give another proof of A. Kishimoto's result on the simplicity of such crossed products. We also give a necessary and sufficient condition that our algebras become primitive, and compute the Connes spectra and K-groups of our algebras.
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U2 - 10.4153/CJM-2003-050-6
DO - 10.4153/CJM-2003-050-6
M3 - Article
AN - SCOPUS:0345687298
SN - 0008-414X
VL - 55
SP - 1302
EP - 1338
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
IS - 6
ER -