A bearing assembly (2) is provided, in particular for a turbomachine, including: an inner bearing race (3); an outer bearing race (4) having at least one cooling channel (15) formed within it or in its outer surface; rolling elements (7) made of ceramic and disposed between the inner bearing race (3) and the outer bearing race (4); and a surrounding bearing ring (9) connected to the outer bearing race (4) and configured to form a squeeze film (10) of oil between its outer surface and an opposite inner surface of a housing (1) in which the bearing assembly can be mounted.