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

Yu. P. Moskaleva; Yu. S. Samoilenko

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arXiv · math/0603503

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

Yu. P. Moskaleva·Yu. S. Samoilenko

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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 $\mathcal P_{4,com}$ generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.

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BibTeX RIS

Yu. P. Moskaleva, Yu. S. Samoilenko. 2006-03-21. Systems of $n$ subspaces and representations of $*$-algebras generated by projections. https://arxiv.org/abs/math/0603503

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