#### Document Type

Article

#### Abstract

The Dixmier-Douady invariant is the primary tool in the classification of continuous trace C*-algebras. These algebras have come to the fore in recent years because of their relationship to twisted K-theory and via twisted K-theory to branes, gerbes, and string theory.

This note sets forth the basic properties of the Dixmier-Douady invariant using only classical homotopy and bundle theory. Algebraic topology enters the scene at once since the algebras in question are algebras of sections of certain fibre bundles.

#### Disciplines

Algebra | Physical Sciences and Mathematics

#### Recommended Citation

C. Shochet, The Dixmier-Douady invariant for dummies, *Notices of the American Mathematical Society* **56.7** (2009), 809-816.

## Comments

First published in Notices of the American Mathematical Society in 2009 (56.7, http://www.ams.org/notices/200907/rtx090700809p.pdf), published by the American Mathematical Society.