Hamming spaces and locally matrix algebras
Оксана Безущак, Bogdana Oliynyk · Journal of Algebra and Its Applications · 2020
We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces [Formula: see text]. 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.