K-Theory and the Universal Coefficient Theorem for Simple Separable Exact C*-Algebras Not Isomorphic to Their Opposites
K-Theory and the Universal Coefficient Theorem for Simple Separable Exact C*-Algebras Not Isomorphic to Their Opposites
复制标题
K-理论和简单可分精确C*-代数与逆元不同构的通用系数定理
DOI：
10.1093/imrn/rnac358
复制
发表时间：
2023
影响因子：
1
通讯作者：
Viola, Maria Grazia
中科院分区：
文献类型：
--
作者：
Phillips, N Christopher;Viola, Maria Grazia
我们构造了无数个相互非同构的简单可分稳定有限酉精确 C* 代数，它们与其相反代数不同构。特别是，我们证明了这样一个代数的群、群和迹态空间存在无数种可能性。我们证明这些 C* 代数满足通用系数定理，即使对于早期工作中产生的与其相反代数非同构的精确 C* 代数的已知示例来说，该定理也是新的。
We construct uncountably many mutually nonisomorphic simple separable stably finite unital exact C*-algebras that are not isomorphic to their opposite algebras. In particular, we prove that there are uncountably many possibilities for the-group, the-group, and the tracial state space of such an algebra. We show that these C*-algebras satisfy the Universal Coefficient Theorem, which is new even for the already known example of an exact C*-algebra nonisomorphic to its opposite algebra produced in an earlier work.