Ableton Live provides native control surface support for the Axiom Series keyboards.  This articles is for the original Axiom keyboards, for the new Axiom (2nd gen), see this article.

For information on configuring and using the Axiom in Live, open the Help View from Live's Help Menu.  At the bottom, select "Control Surface Reference Lesson."

Click to select "Axiom series."

This page provides a basic overview of how the controls are mapped.  At the bottom, click to continue on to the lesson.

Follow the steps in this lesson for detailed information on configuring and using the Axiom as a control surface in Live.