How can I change the ActionBar size?

Question

I would like to set the ActionBar size to 80dp. I'm trying this but isn't working:

<style name="LargeActionBar" parent="Base.Theme.AppCompat.Light.DarkActionBar">
        <!-- Customize your theme here. -->
        <item name="colorPrimary">@color/primary</item>
        <item name="colorPrimaryDark">@color/primary_dark</item>
        <item name="colorAccent">@color/accent</item>
        <item name="actionBarStyle">@style/LargeActionBar.Large</item>
        <item name="android:actionBarStyle">@style/LargeActionBar.Large</item>
    </style>

    <style name="LargeActionBar.Large" parent="Base.Theme.AppCompat.Light.DarkActionBar">
        <!-- Customize your theme here. -->
        <item name="android:background">@color/primary</item>
        <item name="android:height">80dp</item>
        <item name="height">80dp</item>
        <item name="actionBarSize">80dp</item>
    </style>

Activity:

 @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity);

        ActionBar actionBar = getSupportActionBar();
        setTheme(R.style.LargeActionBar);
        actionBar.setDisplayShowHomeEnabled(false);
        actionBar.setDisplayShowTitleEnabled(false);
        LayoutInflater inflater = LayoutInflater.from(this);

        View customView = inflater.inflate(R.layout.layout_actionbar,null);

        actionBar.setCustomView(customView);
        actionBar.setDisplayShowCustomEnabled(true);

I've tried it in two different ways, using setTheme andLayoutInflater. Is it possible that one is interfering in the other?