Here's another view - if you are set on the space next door being a true white, I want to encourage you to shift that to a spanish white / old white / monterrey white - it will help the whole house flow better. Your cabinets do not look yellow to me but warm white -
Since that is a warm palette and you like cool (black and white were mentioned) , take a look at a couple of different grays that have warm green undertones - the soft one for the walls bm spanish olive http://www.benjaminmoore.com/en-us/paint-color/spanisholive or bm gray mirage
and the deep one for your island or a sideboard you can paint http://www.benjaminmoore.com/en-us/paint-color/louisburggreen

They both have the same undertone, but one you almost wouldn't think was green and the casework color, while definitely green will resonate - look at the pairings that bm uses - cream and brown for the kitchen tops, and in the living room, look at the pairing with white and brick red - they show marble white. This is probably white enough for the look that you want, and creamy enough to help the color flow . . . and black will work with all of this much better than something in a classic french gray family . . .

the green undertone neutrals do something like nature in a room, bring warmth, but stay quiet and go with all . . . . there are usually terrific fabrics with this green and black