An Explicit Duality for Finite Groups
Operator Algebras
2007-05-23 v1 Functional Analysis
Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511126,
title = {An Explicit Duality for Finite Groups},
author = {Robert A. Cohen and Martin E. Walter},
journal= {arXiv preprint arXiv:math/0511126},
year = {2007}
}