The curvature invariant of a non-commuting \(n\)-tuple

DOI10.1007/BF01202103zbMath0994.47007arXivmath/0309383OpenAlexW2028966232MaRDI QIDQ5953399

David W. Kribs

Publication date: 8 October 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309383

zbMATH Keywords

Euler characteristiccurvature invariant

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Dilations, extensions, compressions of linear operators (47A20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (9)

Euler characteristic on noncommutative polyballs ⋮ Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\) ⋮ Symmetry in tensor algebras over Hilbert space ⋮ Isometric Dilations of Non-Commuting Finite Rank n-Tuples ⋮ Additive invariants on the Hardy space over the polydisc ⋮ Operator theory on noncommutative domains ⋮ Curvature invariant for Hilbert modules over free semigroup algebras ⋮ Characteristic functions and joint invariant subspaces ⋮ Curvature invariant on noncommutative polyballs

Cites Work

• Models for n-tuples of noncommuting operators
• Models for noncommuting operators
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\)
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Factorization and reflexivity of Fock spaces
• Multi-analytic operators on Fock spaces
• Isometric Dilations of Non-Commuting Finite Rank n-Tuples
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Endomorphisms of B(H)
• Curvature invariant for Hilbert modules over free semigroup algebras
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