  We study the conductance through an Aharonov-Bohm ring, containing a quantum
dot in the Kondo regime in one arm, at finite temperature and arbitrary
electronic density. We develop a general method for this calculation based on
changing basis to the screening and non-screening channels. We show that an
unusual term appears in the conductance, involving the connected 4-point
Green's function of the conduction electrons. However, this term and terms
quadratic in the ${\rm T}$-matrix can be eliminated at sufficiently low
temperatures, leading to an expression for the conductance linear in the Kondo
T-matrix. Explicit results are given for temperatures high compared to the
Kondo temperature.
