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Equivariant Bivariant Cyclic Theory and Equivariant Chern-Connes Character

Equivariant Bivariant Cyclic Theory and Equivariant Chern-Connes Character

We construct an equivariant bivariant cyclic theory, as a combination of equivariant cyclic and noncommutative de Rham theories for unital G-Banach algebras, where G is a compact Lie group.By incorporating the JLO formula and the superconnection formalism of Quillen, an equivariant bivariant Chern Connes character of Kasparov's G-bimodule is defined, …