Given a unimodular locally compact group G, we associate two algebras of operators, R(G) and S(G).Operators in R(G) are multiplication operators and those in S(G) are defined by group translations on G G.The construction of these algebras follow closely the so-called 'group-measure' construction of von Neumann algebras due to Murray and von Neumann.In this paper, we show that the 'normalizer' (a study began by Judith Packer) of S(G) in R(G) is identified with the space of class functions on G.
E. N. Reyes (Wed,) studied this question.