The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

Takeshi Katsura

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The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

机译：利用Abelian群的拟自由行为的Cuntz代数交叉积的理想结构。

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We completely determine the ideal structures of the crossedproducts of Cuntz algebras by quasi-free actions of abelian groupsand give another proof of A.~Kishimoto's result on the simplicityof such crossed products. We also give a necessary and sufficientcondition that our algebras become primitive, and compute theConnes spectra and $K$-groups of our algebras.

机译：我们通过阿贝尔群的准无穷操作完全确定了Cuntz代数的交叉积的理想结构，并再次证明了A.〜Kishimoto的结果就是这种交叉积的简单性。我们还给出了一个必要和充分的条件，使我们的代数成为本原，并计算我们的代数的康尼斯谱和$ K $-群。

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《Canadian Journal of Mathematics》 |2003年第2003期|共页
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Takeshi Katsura;
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中图分类数学;
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1. The ideal structures of crossed products of Cuntz algebras by quasi-free actions of Abelian groups [J] . Katsura T. Canadian Journal of Mathematics . 2003,第6期

机译：Abelian群的准无穷操作的Cuntz代数交叉积的理想结构
2. QUASI-FREE ACTIONS OF FINITE GROUPS ON THE CUNTZ ALGEBRA O_∞ [J] . PAVLE GOLDSTEIN, MASAKI IZUMI Tohoku mathematical journal . 2011,第4期

机译：Cuntz代数O_∞上的有限群的拟免费作用
3. AF EMBEDDING OF CROSSED PRODUCTS OF CERTAINGRAPH C~*-ALGEBRAS BY QUASI-FREE ACTIONS XIAOCHUN FANG [J] . George Elliott FRSC Mathematical Reports of the Academy of Sciences . 2009,第3期

机译：拟自由作用将C〜*-代数交叉产品的AF嵌入
4. The unique case of Euclidean self-dual abelian codes in principal ideal group algebras [C] . Somphong Jitman 2016 12th International Conference on Mathematics, Statistics, and Their Applications . 2016

机译：主理想群代数中欧几里德自对偶阿贝尔编码的唯一情况
5. Compact group actions on C*-algebras: classification, non-classifiability, and crossed products and rigidity results for Lp-operator algebras [D] . Gardella, Emilio Eusebio 2015

机译：C *代数上的紧凑组动作：Lp算子代数的分类，不可分类性和交叉乘积以及刚性结果
6. Further Properties of Abelian Integrals Attached to Algebraic Varieties [O] . W. V. D. Hodge 1931

机译：附加到代数变体上的Abelian积分的进一步性质
7. The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups [O] . Takeshi Katsura 2012

机译：Cuelz代数交叉积的理想结构 - 阿贝尔群的准自由行为

The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

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