论文标题
重新审视了对称的非交通托里
Symmetrized non-commutative tori revisited
论文作者
论文摘要
对于$ \ Mathbb {z} _2 $的翻转动作，在$ n $ dimensional norcumutative borus $a_θ上，使用Natsume的精确序列，我们计算$a_θ\ rtimes \ rtimes \ rtimes \ mathbb {z} {z} _2 _2 $的k主理论组。我们方法的新颖性在于，它还提供了明确的基础，即$ \ mathrm {k} _ {0}（a_θ\ rtimes \ mathbb {z} _2），$作为$θ。$作为一种应用程序，用于简单的$ n $ n $ dipimentional-dimensional $a_θ，使用分类的班级，我们确定$ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $。 \ Mathbb {z} _2 $在同构类别的$a_θ中。
For the flip action of $\mathbb{Z}_2$ on an $n$-dimensional noncommutative torus $A_θ,$ using an exact sequence by Natsume, we compute the K-theory groups of $A_θ\rtimes \mathbb{Z}_2$. The novelty of our method is that it also provides an explicit basis of $\mathrm{K}_{0}(A_θ\rtimes \mathbb{Z}_2),$ for any $θ.$ As an application, for a simple $n$-dimensional torus $A_θ,$ using classification techniques, we determine the isomorphism class of $A_θ\rtimes \mathbb{Z}_2$ in terms of the isomorphism class of $A_θ.$
