2005/11/07 by Robert A. Cohen, Cohen, Robert A., Martin E. Walter +1
Engineering · Mathematics · #14E20 #54C40 #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Group Theory (math.GR) #Mathematics and Applications #Operator Algebras (math.OA) #graph theory and CDMA systems #math.FA #math.GR #math.OA #msc:14E20 #msc:54C40
paper · pdf · doi:10.48550/arxiv.math/0511126
arxiv created 2005/11/07 · openalex publication_date 2005/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using 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.