Can I frame a stud wall on top of a ceramic tile floor?
The kitchen floor in my 90 year old brick house has been updated with ceramic tile by a previous owner. The wall behind the stove holds simple built-in upper cupboards against the original lath and plaster wall concealing about a 1 inch space to the brick behind, but a false wall of unframed sheetrock has been rigged to hang from the front lower lip of those cupboards, forming the counter's backsplash, about 8 inches out from the original wall.
I need to build a proper stud framed wall in front of the original to hang a range hood and cabinets on, (and to insulate) but the wall's sole plate will rest directly on the tiled floor, as things stand at the moment. Is that acceptable, or do I need to demolish the tile and whatever's beneath it to have my sole plate directly contact the original wood floor? (not looking forward to that prospect.) The wall needs to be sturdy to support the weight of the range hood and whatever cabinets end up hanging on it.