Strong uncountable cofinality for unitary groups of von Neumann algebras

DOI10.1515/forum-2019-0060zbMath1481.46061arXiv1804.09515OpenAlexW3006099647MaRDI QIDQ2178805

Philip A. Dowerk

Publication date: 11 May 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09515

zbMATH Keywords

strong uncountable cofinalityBergman propertyuncountable cofinalityunitary groups of von Neumann algebras

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General theory of von Neumann algebras (46L10) General theory of group and pseudogroup actions (22F05)

Related Items

On groups with unbounded Cayley graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological groups and related structures
• Uncountable cofinalities of automorphism groups of linear and partial orders
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Simplicity of the projective unitary groups defined by simple factors
• Bounded normal generation and invariant automatic continuity
• Theory of operator algebras. III
• On the algebraic structure of the unitary group
• Commutateurs dans le groupe unitaire d'un facteur
• On rings of operators. IV
• Automatic continuity for the unitary group
• GENERATING GROUPS BY CONJUGATION-INVARIANT SETS
• Products of symmetries
• A uniqueness result for a class of compact connected groups
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• On full groups of measure-preserving and ergodic transformations with uncountable cofinalities
• A topological version of the Bergman property
• Infinite products of finite simple groups
• Every reasonably sized matrix group is a subgroup of $S_∞$
• UNCOUNTABLE COFINALITIES OF PERMUTATION GROUPS
• Bounded Normal Generation for Projective Unitary Groups of Certain Infinite Operator Algebras
• Bounded normal generation is not equivalent to topological bounded normal generation
• GENERATING INFINITE SYMMETRIC GROUPS
• ON THE BERGMAN PROPERTY FOR THE AUTOMORPHISM GROUPS OF RELATIVELY FREE GROUPS
• Strongly Bounded Groups and Infinite Powers of Finite Groups
• On Products of Symmetries
• Generating automorphism groups of chains
• Theory of operator algebras I.