After detailed studying of source code of that library we discovered that the problem is in Facebook Javascript SDK events. It is due to actionscript library is actually based completely on javascript SDK.
If you'll look into "api\com\facebook\graph\core\FacebookJSBridge.as" file you'll see how FB.init() method implemented:
init: function( opts ) {
FB.init( FB.JSON.parse( opts ) );
FB.Event.subscribe( 'auth.sessionChange', function( response ) {
FBAS.updateSwfSession( response.session );
} );
}
Even if you use Javascript SDK you won't catch events you subscribed on.
Solution of this problem was found in Facebook app settings.
You need to fill in both fields "Site URL" and "Site Domain" on "Web Site" tab in you app settings.
Anyone knows why?