A topological invariant for continuous fields of Cuntz algebras II
A topological invariant for continuous fields of Cuntz algebras II
复制标题
Cuntz 代数 II 连续域的拓扑不变量
DOI：
10.1090/proc/15696
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Sogabe Taro
中科院分区：
文献类型：
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作者：
西本宗矢;山崎倫昭;河村能人;Sogabe Taro
研究了由Taro Sogabe[Math]引入的Cuntz代数的连续域的一个不变量。安。380(2021)，第91-117页]，并找到了一种方法，从使用不变量的构造得到连续的场。利用Brown的可表示性定理，给出了连续域的同构类集合到的同构类集合的双射。作为结果，我们得到了M.Dadarlat关于由向量丛产生的连续场的分类结果的一个新的证明，它对应于稳定地同构于平凡场的分类结果。参考文献
We investigate an invariant for continuous fields of the Cuntz algebraintroduced by Taro Sogabe [Math. Ann. 380 (2021), pp. 91–117], and find a way to obtain a continuous field offrom that ofusing the construction of the invariant. By Brown’s representability theorem, this gives a bijection from the set of the isomorphism classes of continuous fields ofto those of. As a consequence, we obtain a new proof for M. Dadarlat’s classification result of continuous fields ofarising from vector bundles, which corresponds to those ofstably isomorphic to the trivial field. References