Projective spectrum and cyclic cohomology

DOI10.1016/j.jfa.2013.07.010zbMath1297.46051arXiv1312.6569OpenAlexW2964163440MaRDI QIDQ2437050

Patrick Cade, Rongwei Yang

Publication date: 28 February 2014

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

Full work available at URL: https://arxiv.org/abs/1312.6569

zbMATH Keywords

de Rham cohomologymaximal ideal spacecyclic cohomologyMaurer-Cartan formprojective spectruminvariant multilinear functionalprojective resolvent setunion of hyperplanes

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05)

Related Items (13)

Spectral analysis near regular point of reducibility and representations of Coxeter groups ⋮ Joint spectrum and the infinite dihedral group ⋮ Projective joint spectra and characters of representations of \(\tilde{A}_n\) ⋮ On unitary equivalence of compact operator tuples ⋮ Projective spectrum and kernel bundle ⋮ Spectral hypersurfaces for operator pairs and Hadamard matrices of \(F\) type ⋮ Spectral invariants for finite dimensional Lie algebras ⋮ Determinantal hypersurfaces and representations of Coxeter groups ⋮ A note on group representations, determinantal hypersurfaces and their quantizations ⋮ Functional calculus on Noetherian schemes ⋮ Hermitian Geometry on Resolvent Set ⋮ Hermitian metric and the infinite dihedral group ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectrum of Banach algebra-valued entire functions
• Proper analytic free maps
• Noncommutative plurisubharmonic polynomials. I: Global assumptions
• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• A functional calculus in a noncommutative setting
• Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations
• Self-adjoint determinantal representations of real plane curves
• Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula
• Spectral properties of noncommuting operators
• Noncommutative Berezin transforms and multivariable operator model theory
• A joint spectrum for several commuting operators
• PROJECTIVE SPECTRUM IN BANACH ALGEBRAS

This page was built for publication: Projective spectrum and cyclic cohomology