Equivariant T-Duality of Locally Compact Abelian Groups

TL;DR

This paper explores the concept of equivariant T-duality for locally compact abelian groups, establishing an isomorphism in twisted equivariant K-theory with applications to groups like ^n.

Contribution

It introduces a new framework for equivariant T-duality in the setting of locally compact abelian groups, extending previous theories.

Findings

Established an isomorphism in twisted equivariant K-theory for ^n

Extended T-duality concepts to locally compact abelian groups

Provided a concrete example with ^n and lattices

Abstract

Equivariant T-duality triples of locally compact abelian groups are considered. The motivating example dealing with the group $\R^n$ containing a lattice $\Z^n$ comes with an isomorphism in twisted equivariant K-theory.