An Explicit Duality for Finite Groups

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dc.creatorCohen, Robert A.
dc.creatorWalter, Martin E.
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:48Z
dc.date.available2026-07-07T06:50:48Z
dc.descriptionUsing a ``3 by 3 matrix trick'' we previously showed that multiplication in a C*-algebra A, an algebraic structure, is determined by the geometry of the C*-algebra of the 3 by 3 matrices with entries from A. As an application of this algebra-geometry duality we now construct an order theoretic based duality theory for all groups which are either locally compact abelian or finite. This construction generalizes the van Kampen--Pontriagin duality for locally compact abelian groups.
dc.identifierhttps://arxiv.org/abs/math/0511126
dc.identifierhttp://arxiv.org/abs/math/0511126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104782
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject54C40; 14E20
dc.titleAn Explicit Duality for Finite Groups
dc.typetext

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