几何玻尔拓扑
A Geometric Bohr topos
摘要：
在这个简短的说明中，我们构造了一个C*-代数的玻尔拓扑的变体，它以更精细的方式考虑了代数的拓扑，并且使得这个构造在沿着几何态射的拉回下是稳定的。这推广了G. Raynaud有限维代数的一个构造.我们的思想是构造一个C*-代数A的Bohr topos作为A的局部完备化的低次幂局部域的子局部域，从而对A的交换局部子C *-代数进行分类。
英文摘要：
In this short note, we construct a variant of the Bohr topos of a C*-algebra which takes into account the topology of the algebra in a finer way and such that this construction is stable under pullback along geometric morphisms. This generalizes a construction for finite dimensional algebras of G.Raynaud. Our idea is to construct the Bohr topos of a C*-algebra A as the sublocale of the lower power locale of the localic completion of A which classifies the commutative localic sub-C*-algebras of A.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
