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

Yu. P. Moskaleva, Yu. S. Samoilenko

math.OAarXiv:math/0603503

Abstract

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 P4,com generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.

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