Simplicity of Neretin's group of spheromorphisms.

DOI10.5802/aif.1715zbMath1050.20017OpenAlexW2321319509MaRDI QIDQ1294739

Christophe Kapoudjian

Publication date: 10 August 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_4_1225_0

zbMATH Keywords

treeCantor set\(p\)-adic numberssimple groupsHigman-Thompson groupsspheromorphismtree automorphism group

Mathematics Subject Classification ID

Simple groups (20E32) Transformation groups and semigroups (topological aspects) (54H15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups acting on trees (20E08)

Related Items (17)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Compact presentability of tree almost automorphism groups ⋮ Groups of hierarchomorphisms of trees and related Hilbert spaces ⋮ Piecewise strongly proximal actions, free boundaries and the Neretin groups ⋮ Uniform simplicity of groups with proximal action ⋮ Simple locally compact groups acting on trees and their germs of automorphisms. ⋮ Commensurated subgroups in tree almost automorphism groups ⋮ Discrete locally finite full groups of Cantor set homeomorphisms ⋮ The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups ⋮ Computing the scale of an endomorphism of a totally disconnected locally compact group ⋮ Rational discrete cohomology for totally disconnected locally compact groups ⋮ Coloured Neretin groups ⋮ On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees ⋮ Finiteness properties of totally disconnected locally compact groups ⋮ Neretin's groups and Kazhdan's property (T) ⋮ Conjugacy and dynamics in almost automorphism groups of trees

Cites Work

• Unitary representations of the diffeomorphism group of the p-adic projective line
• Introductory notes on Richard Thompson's groups
• ON COMBINATORIAL ANALOGS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE
• Virasoro-Type Extensions for the Higman-thompson and Neretin Groups
• Finiteness properties of groups
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