Amenability of the Gauge Group

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dc.creatorCarey, Alan
dc.creatorGrundling, Hendrik
dc.date2004-01-15
dc.date.accessioned2026-07-07T10:30:23Z
dc.date.available2026-07-07T10:30:23Z
dc.descriptionLet G be one of the local gauge groups C(X,U(n)), C^\infty(X,U(n)), C(X,SU(n)) or C^\infty(X,SU(n)) where X is a compact Riemannian manifold. We observe that G has a nontrivial group topology, coarser than its natural topology, w.r.t. which it is amenable, viz the relative weak topology of C(X,M(n)). This topology seems more useful than other known amenable topologies for G. We construct a simple fermionic model containing an action of G, continuous w.r.t. this amenable topology.
dc.description8 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0401031
dc.identifierhttp://arxiv.org/abs/math-ph/0401031
dc.identifierLett.Math.Phys.68:113-120,2004
dc.identifierdoi:10.1023/B:MATH.0000043318.42556.03
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178115
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subjectOperator Algebras
dc.subject43A07; 81T13; 46L30; 81R10; 81R15
dc.titleAmenability of the Gauge Group
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