Equivariant Chern character in K-theory and K-homology.

If a group G acts on a topological space X, then the quotient space G/X is obtained by collapsing each orbit to a point. A different kind of quotient is obtained by replacing each orbit by the set of conjugacy classes of its isotropy group. This talk will describe how this extended quotient can be used to construct the Chern character for equivariant K-theory, equivariant K-homology, and equivariant bivariant K-theory.