论文标题
在带有乐队主导操作员的Banach代数及其订单结构上
On Banach algebras of band-dominated operators and their order structure
论文作者
论文摘要
本文的目的是在统一的本地有限的度量空间以及它们产生的Banach代数方面，在Schauder的Banach空间上研究带有乐队主导的运营商：所谓的ROE代数。我们研究了那些BANACH空间（例如，保存规范，秩序，代数结构等）之间的几种同构，并证明了几种刚性的结果，何时均匀的ROE代数之间的某种同构表示基本计数空间（在表现上）是均等的。
The goal of this paper is to study band-dominated operators on Banach spaces with Schauder basis with respect to uniformly locally finite metric spaces as well as the Banach algebras generated by them: the so called uniform Roe algebras. We investigate several kinds of isomorphisms between those Banach spaces (e.g., isomorphisms preserving norm, order, algebraic structure, etc) and prove several rigidity results on when a certain kind of isomorphism between the uniform Roe algebras implies that the base metric spaces are (bijectively) coarsely equivalent.
