On transitive systems of subspaces in a Hilbert space (Q2495197)

Let \(H\) be a Hilbert space and \(H_{1},H_{2},\dots,H_{n}\) be \(n\) subspaces of \(H\) and let \(S=(H;H_{1},H_{2},\dots,H_{n})\) denote the system of \(n\) subspaces of the space \(H\). In the paper under review, the authors analyze the complexity of the description problem for transitive systems of subspaces \(S=(H;H_{1},H_{2},\dots,H_{n})\) for \(n \geq 5\). Also, they prove that the problem of describing inequivalent \(*\)-representations of the \(*\)-algebras that give rise to nonisomorphic transitive systems is \(*\)-wild.