论文标题
锤子空间和局部矩阵代数
Hamming spaces and locally matrix algebras
论文作者
论文摘要
我们介绍了一个锤子空间的抽象定义，该定义概括了标准锤子空间$（\ Mathbb {Z}/ 2 \ Mathbb {Z}）^n $。我们将可计数的本地标准锤子空间分类，并表明每个锤子都可以实现为局部基质代数的cartan subergebra的diDempotents的布尔代数。
We introduce an abstract definition of a Hamming space that generalizes standard Hamming spaces $( \mathbb{Z}/ 2 \mathbb{Z})^n $. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolean algebra of idempotents of a Cartan subalgebra of a locally matrix algebra.
