The discrete Gelfand transform and its dual

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dc.creatorBuchstaber, V.
dc.creatorLazarev, A.
dc.date2004-04-26
dc.date.accessioned2026-07-07T05:07:42Z
dc.date.available2026-07-07T05:07:42Z
dc.descriptionWe consider the transformation $\ev$ which associates to any element in a K-algebra A a function on the the set of its K-points. This is the analogue of the fundamental Gelfand transform. Both $\ev$ and its dual $\ev^*$ are the maps from a discrete K-module to a topological K-module and we investigate in which case the image of each map is dense. The answer is nontrivial for various choices of K and A already for A=K[x], the polynomial ring in one variable. Applications to the structure of algebras of cohomology operations are given.
dc.identifierhttps://arxiv.org/abs/math/0404443
dc.identifierhttp://arxiv.org/abs/math/0404443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70960
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.titleThe discrete Gelfand transform and its dual
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