ActionBarのメニューにCheckBoxを表示する ref: http://qiita.com/nein37/items/d0c01daf240f3f585092

menu.xml

<menu xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    tools:context=".MyActivity">

    <group android:checkableBehavior="single">
        <item
            android:id="@+id/action_radio1"
            android:title="ラジオ1"
            app:showAsAction="never" />
        <item
            android:id="@+id/action_radio2"
            android:title="ラジオ2"
            app:showAsAction="never" />
    </group>

</menu>

MyActivity.java

    @Override
    public boolean onCreateOptionsMenu(Menu menu) {
        getMenuInflater().inflate(R.menu.menu, menu);
        return true;
    }

    @Override
    public boolean onOptionsItemSelected(MenuItem item) {
        int id = item.getItemId();
        switch (id){
            case R.id.action_radio1:
                item.setChecked(!item.isChecked());
                Toast.makeText(this,"action_radio1",Toast.LENGTH_SHORT).show();
                return true;
            case R.id.action_radio2:
                item.setChecked(!item.isChecked());
                Toast.makeText(this,"action_radio2",Toast.LENGTH_SHORT).show();
                return true;
        }
        return super.onOptionsItemSelected(item);
    }