Traces of commutators of Schatten-von Neumann class operators.
Universally weakly inner one-parameter automorphism groups of seperable C*-algebras, II.
Approximation and convex decomposition by extremals in a C*-algebra.
Left quotients of a C*-algebra, III: Operators on left quotients
Let L be a norm closed left ideal of a C*-algebra A. Then the left quotient A/L is a left A-module. In this paper, we shall implement Tomita’s idea about representing elements of A as left multiplications: . A complete characterization of bounded endomorphisms of the A-module A/L is given. The double commutant of in B(A/L) is described. Density theorems of von Neumann and Kaplansky type are obtained. Finally, a comprehensive study of relative multipliers of A is carried out.
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