English

Spectra of locally matrix algebras

Rings and Algebras 2020-11-18 v1

Abstract

We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier-Baranov Theorem. As an application of our description of spectra we determine embeddings of locally matrix algebras.

Keywords

Cite

@article{arxiv.2011.08264,
  title  = {Spectra of locally matrix algebras},
  author = {Oksana Bezushchak},
  journal= {arXiv preprint arXiv:2011.08264},
  year   = {2020}
}