Cohomology of a class of Kadison-Singer algebras

DOI10.1007/s11425-010-4025-4zbMath1217.47139OpenAlexW2032908569MaRDI QIDQ625783

Cheng Jun Hou

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4025-4

zbMATH Keywords

inner derivationcohomology groupnest algebraKadison-Singer algebraKadison-Singer latticerank one operator

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Nest algebras, CSL algebras (47L35) Other nonselfadjoint operator algebras (47L75)

Related Items

On strong Kadison-Singer algebras, Characterizations of Lie derivations on Kadison-Singer algebras, On some automorphisms of a class of Kadison-Singer algebras, A note on the diagonal maximality of operator algebras, Minimal generating reflexive lattices of projections in finite von Neumann algebras, On generators of abelian Kadison-Singer algebras in matrix algebras, Derivations of a class of Kadison-Singer algebras, On some maximal non-selfadjoint operator algebras, A new class of Kadison-Singer algebras, Some new classes of Kadison-Singer lattices in Hilbert spaces, A new class of hyperfinite Kadison-Singer factors

Cites Work

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• Kadison–Singer algebras, II: General case
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• A Note on the Commutants of CSL Algebras Modulo Bimodules
• Strongly Reflexive Lattices
• On Some Algebras of Operators
• Cohomology in Banach algebras