Tensor Algebras, Induced Representations, and the Wold Decomposition
Copyright policy )Tensor Algebras, Induced Representations, and the Wold Decomposition
AbstractOur objective in this sequel to [18] is to develop extensions, to representations of tensor algebras overC*-correspondences, of two fundamental facts about isometries on Hilbert space: The Wold decomposition theorem and Beurling’s theorem, and to apply these to the analysis of the invariant subspace structure of certain subalgebras of Cuntz-Krieger algebras.
- University of Iowa United States
invariant subspace structure, Beurling's theorem, Abstract operator algebras on Hilbert spaces, Projective and injective objects in functional analysis, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Methods of category theory in functional analysis, Canonical models for contractions and nonselfadjoint linear operators, Wold decomposition, General theory of \(C^*\)-algebras, induced representations, tensor algebras over \(C^*\)-correspondences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Dilations, extensions, compressions of linear operators, Linear spaces of operators, Tensor products of \(C^*\)-algebras, Hilbert space isometries, Automorphisms of selfadjoint operator algebras, subalgebras of Cuntz-Krieger algebras
invariant subspace structure, Beurling's theorem, Abstract operator algebras on Hilbert spaces, Projective and injective objects in functional analysis, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Methods of category theory in functional analysis, Canonical models for contractions and nonselfadjoint linear operators, Wold decomposition, General theory of \(C^*\)-algebras, induced representations, tensor algebras over \(C^*\)-correspondences, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Dilations, extensions, compressions of linear operators, Linear spaces of operators, Tensor products of \(C^*\)-algebras, Hilbert space isometries, Automorphisms of selfadjoint operator algebras, subalgebras of Cuntz-Krieger algebras
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