Could not and should not is sometimes two different things.
As pointed out by oddio there is a bit of nonsense, at least mis-understanding, here. By law, any device, appliance, or component actually requiring a 20A circuit must be equipped with or required by the manufacture to have a 20A rated cord with a 20A plug (easy to recognize as the neutral spade is at a right angle to the hot spade - so it can not be plugged into a 15A socket) Looking at the amp's specs and photos of it's dedicated power cord, with a standard 15A plug, I can say that a 20A circuit is not required. Can it be plugged into a 20A circuit - Yes. Is a 20A circuit required to operate this amp - No. So that is the answer too "Could".
As far as "Should" - well that depends on a few things. First, is the building and included apartments up to code? Second do you have an outlet on the wall where you would put the amp, that you can leave as dedicated, with nothing else plugged into that circuit? Third, where ever you put the amp, make sure it plugs directly Into the outlet (no extension cords).
Upgrading the outlet would help and possibly a good power conditioner (depending on if the power from the outlet is noisy and on what Krell (not a dealer , but the tech dept. at Krell) recommends.
I would say it would work fine as long as you're not driving a pr of 1 Ohm Apogees at 110db. In which case they'd probably kick you out anyway...Jim