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

Moskaleva, Yu. P.; Samoilenko, Yu. S.

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

Authors

Description

In 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 figs