ABSTRACT

Q = I Q" dJ.L1 (a) and Q" commutes for almost all a with U"(q]J(/, G)). It follows that Qa is the multiplication by a function which is invariant by left action of q]J(f, G). Then Q" is a constant and Q is diagonalizable in the direct integral (4.10) and Q E UR(q]J(l, T))". This proves (i).