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Traces of commutators of Schatten-von Neumann class operators.

Lawrence G. Brown — 1994

Journal für die reine und angewandte Mathematik

Universally weakly inner one-parameter automorphism groups of seperable C*-algebras, II.

George A. Elliott; Lawrence G. Brown — 1985

Mathematica Scandinavica

Approximation and convex decomposition by extremals in a C*-algebra.

Gert K. Pedersen; Lawrence G. Brown — 1998

Mathematica Scandinavica

Left quotients of a C*-algebra, III: Operators on left quotients

Lawrence G. Brown; Ngai-Ching Wong — 2013

Studia Mathematica

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: $π_{p} (a) (b + L) = a b + L$ . A complete characterization of bounded endomorphisms of the A-module A/L is given. The double commutant $π_{p} {(A)}^{''}$ of $π_{p} (A)$ 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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