Vol. 28, No. 2, 1969

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Homomorphisms of B∗-algebras

James DeWitt Stein

Vol. 28 (1969), No. 2, 431–439

This paper is divided into two sections. The first deals with Banach algebra homomorphisms of a von Neumann algebra A, and extends the Bade-Curtis theory for commutative B-algebras to von Neumann algebras, as well as characterizing the separating ideal in the closure of the range of the homomorphism. The second section concerns homomorphisms of B-algebras; the chief result being the existence of an ideal with cofinite closure such that the restriction of the homomorphism to any closed, two-sided ideal contained in is continuous.

Mathematical Subject Classification
Primary: 46.65
Received: 8 March 1968
Published: 1 February 1969
James DeWitt Stein