Inductive limit of general linear groups

DOI10.1215/kjm/1250518008zbMath0939.22003OpenAlexW2152221043MaRDI QIDQ1296416

Aiichi Yamasaki

Publication date: 5 July 2000

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518008

zbMATH Keywords

topological groupinductive limit topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Linear algebraic groups and related topics (20G99)

Related Items (11)

Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction ⋮ Continuity of LF-algebra representations associated to representations of Lie groups ⋮ Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories ⋮ Detecting topological groups which are (locally) homeomorphic to LF-spaces ⋮ On the First Order Cohomology of Infinite-Dimensional Unitary Groups ⋮ Completeness of Infinite-dimensional Lie Groups in Their Left Uniformity ⋮ Duality theorem for inductive limit groups ⋮ Topological properties of inductive limits of closed towers of metrizable groups ⋮ Topological structure of direct limits in the category of uniform spaces ⋮ Long colimits of topological groups. I. Continuous maps and homeomorphisms ⋮ Direct limit topologies of quasi-uniform spaces and paratopological groups

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