Equivariant Bivariant Cyclic Theory and Equivariant Chern-Connes Character

Equivariant Local Cyclic Homology and the Equivariant Chern-Connes Character

We define and study equivariant analytic and local cyclic homology for smooth actions of totally disconnected groups on bornological algebras. Our approach contains equivariant entire cyclic cohomology in the sense of Klimek, Kondracki and Lesniewski as a special case and provides an equivariant extension of the local cyclic theory developped by Puschnigg. As a main result we construct a multip...

Equivariant index and Chern character

These maps correspond respectively to the families index theorem of Atiyah and Singer for fibrewise pseudodifferential operators for a smooth fibration of a compact manifold M −→ Y, to the equivariant index for invariant and transversally elliptic operators for the smooth action of a compact Lie group on a compact manifold Z and to the pseudodifferential extension of the numerical index map of ...

Chern Character in Twisted K-theory: Equivariant and Holomorphic Cases

It was argued in [25], [5] that in the presence of a nontrivial Bfield, D-brane charges in type IIB string theories are classified by twisted Ktheory. In [4], it was proved that twisted K-theory is canonically isomorphic to bundle gerbe K-theory, whose elements are ordinary Hilbert bundles on a principal projective unitary bundle, with an action of the bundle gerbe determined by the principal p...

Excess intersection in equivariant bivariant K-theory

Using the formalism of bicycles we present an excess intersection formula in Kasparov’s group KKG(X,Y ). Resumé Dans le cadre de bicycles ( cycles bivariants ) nous donnons une formule d’intersection excessive.

Chern-weil Theory and Equivariant Cohomology