Free resolutions in multivariable operator theory.

DOI10.1016/S0022-1236(02)00043-5zbMath1045.46047arXivmath/0109111MaRDI QIDQ1395795

Devin C. V. Greene

Publication date: 1 July 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109111

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes and commutative rings (13D02) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (5)

Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Spectra of quotient modules ⋮ Wandering subspace property for homogeneous invariant subspaces ⋮ Resolutions of Hilbert modules and similarity ⋮ The semicircular law of free probability as noncommutative multivariable operator theory

Cites Work

• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• The algebraic structure of non-commutative analytic Toeplitz algebras
• The Dirac operator of a commuting \(d\)-tuple.
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• A joint spectrum for several commuting operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
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