Hamming spaces and locally matrix algebras
Rings and Algebras
2020-03-03 v1
Abstract
We introduce an abstract definition of a Hamming space that generalizes standard Hamming spaces . 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.
Cite
@article{arxiv.2003.00432,
title = {Hamming spaces and locally matrix algebras},
author = {Oksana Bezushchak and Bogdana Oliynyk},
journal= {arXiv preprint arXiv:2003.00432},
year = {2020}
}