04-14 Alan Carey, Hendrik Grundling

Amenability of the Gauge Group (45K, Latex) Jan 20, 04

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. Let 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.

Files: 04-14.src( 04-14.comments , 04-14.keywords , amenPrep.tex )