We live in a townhome/condo in Chicago and we want to install hardwood. Because the subfloor is gypcrete we are stuck with a floating floor. We narrowed it down to Somerset floors but our issue now is that we are supposed to install t-moulding because we have 2 entries in the kitchen (no doors) and a long living of around 45 ft. Can we install it without the t-moulding?
This is a plan of our house, the hardwood will be installed on the brown area and the kitchen.
https://media.roomsketcher.com/levelimage/?pid=4009913&id=5926884&ts=20180302154628

Yes but it has to be very flat so there is zero movement. My method calls for back cutting the plank along the tile leaving a thin 1/8 inch gap. Stuff backer rod down in there as deep as you can get it. Then fill the rest of the way with grout caulk or matching silicone.
This allows the floor to move a bit instead of purely filling the gap with caulk.

The kitchen will have the same hardwood installed also, there will be no tile.

My concern is with the kitchen island going on top of the floating floor. Without the t-molds at the kitchen entries, the floor in the kitchen can affect the floor in the other rooms - if the weight of the island is too high, it will restrict the expansion and contraction in the kitchen, which may cause the floor to fail elsewhere in neighboring areas. It would be safer to install t-molds that way if your kitchen becomes affected, the rest of the install will be OK.

I second the flatness point as well. For a big floating install, you want the subfloor to be as flat as possible, roughly 1/8 over 10ft or better. This is key to not feeling deflection or movement after the install.