The only thing that can alter your attack speed is the weapon you use. In the order from fastest to slowest weapons: 1H sword (usually equipped with shield) > 2H sword > axe.
However.. damage also decreases with higher attack rate (i.e. from highest to lowest damage is axe > 2H sword > 1H sword).
1H sword is usually used by tankers as they can equip shields, while axes are used by those that deals blows of damage (though most fighters carry both 1H and axe in case they need to tank in certain situations).
In other words.. you can't alter attack speed using stat points or skill points. Though I can't recall if a fighter has a buff that increases attack speed. If they do, but it'll only be a short lasting buff, not something permanent.
Hope that helps.
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