Die lokale Struktur von T-Dualit\"atstripeln

TL;DR

This paper demonstrates the equivalence between the $C^*$-algebraic and topological approaches to T-duality, clarifying the relationship between two prominent mathematical frameworks.

Contribution

It establishes the equivalence between the $C^*$-algebraic and topological methods for T-duality, unifying different mathematical perspectives.

Findings

Proves the equivalence of the two T-duality approaches

Clarifies the mathematical relationship between algebraic and topological frameworks

Provides a foundation for further research in T-duality theory

Abstract

We show that the $C^*$-algebraic approach to T-duality of Mathai and Rosenberg is equivalent to the topological approach of Bunke and Schick.