Lie theoretic significance of the measure topologies associated with a finite trace

DOI10.1515/FORUM.2010.13zbMath1188.22002MaRDI QIDQ3550690

Daniel Beltiţă

Publication date: 1 April 2010

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

zbMATH Keywords

von Neumann algebrasmeasure topologyfinite trace

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Nonassociative topological algebras (46H70) Analysis on general topological groups (22A10)

Related Items (3)

On Polish groups of finite type ⋮ Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators ⋮ Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type

Cites Work

• Real and \(p\)-adic Lie algebra functors on the category of topological groups.
• Geometric representation theory for unitary groups of operator algebras
• Towards a Lie theory of locally convex groups
• Notes on non-commutative integration
• On the problem of the amenability of the gauge group
• The unitary structure in finite rings of operators
• Integration Theorems For Gages and Duality for Unimodular Groups
• The Category of Generalized Lie Groups
• Lie Groups of Measurable Mappings
• Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
• On a universality property of some abelian Polish groups

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