L2 Riemannian-Roch Theorem for Elliptic Operators.
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.
Lifting matrix units in C*-algebras II.
Limacons, normal operators and polar factorizations.
Local perturbations and approach to equilibrium