The main result of the paper is the proof of a theorem thatstrengthens the classical 1949–1972 results by Kaplansky, Isaacs–Passman,and C. C. Moore on locally compact groups all of whose irreducible unitaryrepresentations are finite-dimensional an...
The main result of the paper is the proof of a theorem thatstrengthens the classical 1949–1972 results by Kaplansky, Isaacs–Passman,and C. C. Moore on locally compact groups all of whose irreducible unitaryrepresentations are finite-dimensional and the dimensions of these representationsare jointly bounded: these groups are finite extensions of commutativelocally compact groups.