The RKKY interaction is an important theoretical model for indirect exchange in magnetic multilayer. expression range function three dimension and lower has been derived the 1950s. However, one still studied recent years, due to its strong singularity. By using adiabatic limit of retarded Green’s form that directly related dimension, we decompose singularity recover function. Furthermore, show ...

Controlled K-theory is used to show that algebraic K-theory of virtually abelian groups is described by an assembly map defined using possibly-infinite hyperelementary subgroups. The part coming from infinite subgroups is called the Farrell-Jones summand. This is shown to split from the finite-isotropy part; is parameterized by the rational projective space of the group; and a reduced version i...

In the present paper, we give a short proof of the nuclearity property of a class of CuntzPimsner algebras associated with a HilbertA-bimodule M, whereA is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A.