Duality for topological abelian group stacks and T-duality

Abstract

v2: An additional assumption was added in Theorem 4.8. In order to show that a connected abelian group is admissible on the site of locally compact spaces we must in addition assume that it is locally topologically divisible. This condition is used in the proof of Lemma 4.62.

125 pages, contribution to the Proceedings of the International Conference on K-theory and Non-commutative Geometry, Valladolid 2006

References in corpus (1)

• Sheaf theory for stacks in manifolds and twisted cohomology for S^1-gerbes

Cited by in corpus (6)

• Differential K-theory. A survey
• Periodic twisted cohomology and T-duality
• A groupoid approach to noncommutative T-duality
• Algebraic K-theory, K-regularity, and T-duality of ${\mathcal{O}}_{\infty }$-stable $C^{\ast }$-algebras
• Equivariant T-Duality of Locally Compact Abelian Groups
• The Global Topology of Pontrjagin Duality