Karabiner ScrollWheel (Left/Right) to OSX Spaces Navigation

private.xml

<?xml version="1.0"?>
<root>
    <item>
        <name>ScrollWheel(Left/Right)</name>
        <appendix>(You can switch Desktop by scroll wheel left/right.)</appendix>
        <identifier>private.scroll_wheel_left_right</identifier>
        <autogen>
            __ScrollWheelToKey__
            ScrollWheel::LEFT | ModifierFlag::NONE,
            KeyCode::CURSOR_LEFT,  ModifierFlag::CONTROL_R
        </autogen>
        <autogen>
            __ScrollWheelToKey__
            ScrollWheel::RIGHT | ModifierFlag::NONE,
            KeyCode::CURSOR_RIGHT,  ModifierFlag::CONTROL_R
        </autogen>
    </item>
</root>