On Polish groups of finite type

DOI10.2977/PRIMS/73zbMath1255.46028arXiv1105.4523MaRDI QIDQ435226

Hiroshi Ando, Yasumichi Matsuzawa

Publication date: 11 July 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4523

zbMATH Keywords

positive definite functionPolish groupII\(_1\) factorbi-invariant metricclass \(\mathcal{U}_{\text{fin}}\)finite type groupSIN-group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) General theory of von Neumann algebras (46L10)

Related Items (7)

An exotic group as limit of finite special linear groups ⋮ Chief factors in Polish groups ⋮ A descriptive view of unitary group representations ⋮ Locally compact groups which are separably categorical structures ⋮ Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type ⋮ Polish groups of unitaries ⋮ Large scale geometry of Banach-Lie groups

Cites Work

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• Lie group-Lie algebra correspondences of unitary groups in finite von Neumann algebras
• Isomorphisms of finite type II rings of operators
• A Polish group without Lie sums
• Additive subgroups of topological vector spaces
• Banach space theory. The basis for linear and nonlinear analysis
• Lie theoretic significance of the measure topologies associated with a finite trace
• On Popa's Cocycle Superrigidity Theorem

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