论文标题
核$ c^\ ast $ -Algebras的UCT问题
The UCT problem for nuclear $C^\ast$-algebras
论文作者
论文摘要
近年来，已经对大量的核$ c^\ ast $代数进行了分类，Modulo是对通用系数定理（UCT）的假设。我们认为这个假设是多余的，并提出了证明这一点的策略。确实，遵循分类定理的原始证明，我们提出了弥合还原定理和示例之间的差距。尽管许多这样的桥梁是可能的，但各种近似理想的结构似乎很有希望。
In recent years, a large class of nuclear $C^\ast$-algebras have been classified, modulo an assumption on the Universal Coefficient Theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed, following the original proof of the classification theorem, we propose bridging the gap between reduction theorems and examples. While many such bridges are possible, various approximate ideal structures appear quite promising.
