Steinberg代数的保对角分次同构
环与代数
2018-10-08 v3 算子代数
摘要
我们研究由充足豪斯多夫广群在带单位元的交换整环上构造的Steinberg代数。我们从（分次）Steinberg代数重构（分次）广群，并利用此结果刻画两个（分次）Steinberg代数之间存在保对角（分次）同构的条件。我们将这一刻画应用于有向图的广群，以研究Leavitt路径代数和图-代数的保对角（分次）同构。
引用
@article{arxiv.1611.09749,
title = {Diagonal-preserving graded isomorphisms of Steinberg algebras},
author = {Toke Meier Carlsen and James Rout},
journal= {arXiv preprint arXiv:1611.09749},
year = {2018}
}
备注
23 pages. We have revised our exposition to highlight that we only need to know the ring structure of a Steinberg algebra and its diagonal subalgebra in order to recover the underlying groupoid. This is the version that will be published