Classification of abelian finite-dimensional $C^{\ast }$-algebras by orthogonality

Bojan Kuzma, Sushil Singla

The main goal of the article is to prove that if ${\mathcal{A}}_1$ and ${\mathcal{A}}_2$ are Birkhoff-James isomorphic $C^{\ast }$-algebras over the fields ${\mathbb{F}}_1$ and ${\mathbb{F}}_2$, res…