Backbone: event lost in re-render

I have super-View who is in charge of rendering sub-Views. When I re-render the super-View all the events in the sub-Views are lost.

This is an example:

var SubView = Backbone.View.extend({
    events: {
        "click": "click"
    },

    click: function(){
        console.log( "click!" );
    },

    render: function(){
        this.$el.html( "click me" );
        return this;
    }
});

var Composer = Backbone.View.extend({
    initialize: function(){
        this.subView = new SubView();
    },

    render: function(){
        this.$el.html( this.subView.render().el );             
    }
});


var composer = new Composer({el: $('#composer')});
composer.render();

When I click in the click me div the event is triggered. If I execute composer.render() again everything looks pretty the same but the click event is not triggered any more.

Check the working jsFiddle.