Systems of $n$ subspaces and representations of $*$-algebras generated by projections

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110274In this paper we study a relationship between systems of $n$ subspaces and representations of $*$-algebras generated by projections. We prove that irreducible nonequivalent $*$-representations of $*$-algebras $\mathcal P_{4,com}$ generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.19 pp., 2 figsOperator AlgebrasFunctional AnalysisRings and AlgebrasRepresentation Theory47A62; 16620Systems of $n$ subspaces and representations of $*$-algebras generated by projectionstext