ISOMETRIC AUTOMORPHISMS AND HOMOLOGY FOR NON-SELF-ADJOINT OPERATOR ALGEBRAS

DOI10.1093/qmath/42.1.271zbMath0745.47038OpenAlexW2044375601MaRDI QIDQ3977046

Stephen C. Power, Kenneth R. Davidson

Publication date: 25 June 1992

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/42.1.271

zbMATH Keywords

semidirect productcohomology groupabelian group of outer Schur automorphismsautomorphisms of reflexive operator-algebras with commutative subspacefinite poset algebragroup of the outer automorphismsgroup of the outer symmetriesmaximal self-adjoint algebrareflexive operator-algebra

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Automorphisms of selfadjoint operator algebras (46L40) Dual spaces of operator algebras (47L50)

Related Items (13)

Approximately finitely acting operator algebras ⋮ Bimodules in crossed products of von Neumann algebras ⋮ Classification of limits of triangular matrix algebras ⋮ Homology for operator algebras. IV. On the regular classification of limits of 4-cycle algebras ⋮ Inductive limits in the operator system and related categories ⋮ Local derivations and local automorphisms. ⋮ Completely bounded module maps and the Haagerup tensor product ⋮ Isometries of CSL Algebras ⋮ A note on 2-local automorphisms of digraph algebras ⋮ Schur products and module maps on \(B({\mathcal H})\) ⋮ Relative positions of matroid algebras ⋮ Algebraic orders and chordal limit algebras ⋮ The uniqueness of AF diagonals in regular limit algebras

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