Lattice isomorphisms between projection lattices of von Neumann algebras

DOI10.1017/fms.2020.53zbMath1466.46049arXiv2006.08959OpenAlexW3035247879MaRDI QIDQ5135419

Michiya Mori

Publication date: 20 November 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08959

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Lattices of subspaces and geometric closure systems (51D25)

Related Items (9)

Ring isomorphisms of Murray-von Neumann algebras ⋮ Isomorphisms of spectral lattices ⋮ Ring isomorphisms of type II∞$_\infty$ locally measurable operator algebras ⋮ Изоморфизм между алгеброй измеримых функций и ее подалгеброй асимптотически дифференцируемых функций ⋮ Spectral order isomorphisms and AW$AW$*‐factors ⋮ Ring derivations of Murray-von Neumann algebras ⋮ On regular \({}^*\)-algebras of bounded linear operators: a new approach towards a theory of noncommutative Boolean algebras ⋮ Ring isomorphisms of \(\ast \)-subalgebras of Murray-von Neumann factors ⋮ Isomorphisms of commutative regular algebras

Cites Work

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• Isomorphisms of finite type II rings of operators
• Isometries between projection lattices of von Neumann algebras
• Order isomorphisms of operator intervals in von Neumann algebras
• A structure theorem of automorphisms of von Neumann algebras
• A non-commutative extension of abstract integration
• On the geometry of projections in certain operator algebras
• Automorphisms of central extensions of type I von Neumann algebras
• On Isomorphisms of Lattices of Closed Subspaces
• Von Neumann regular rings: connections with functional analysis
• Tensor Products of <I>C</I>*-Algebras and Operator Spaces
• On Isomorphisms of C ∗ -Algebras
• When are Multiplicative Mappings Additive?
• Two Subspaces
• Ring Isomorphisms of Banach Algebras
• Ring and lattice characterizations of complex Hilbert space

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