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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeOct 4th 2020
• (edited Oct 4th 2020)

starting something

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeOct 4th 2020

I am expecting that the equivariant Chern character in equivariant K-theory is naturally induced by the equivariant rationalization-map on the classifying $G$-space for equivaraiant K-theory.

Instead, people like to give various fairly involved component-definitions of the equivariant Chern character.

That these component definitions are indeed equivalent to the natural definition by rationalization of the classifying $G$-space appears, as a side remark, below the proof of Theorem 5.5 in Lück-Oliver 01.

Does any author make this more explicit?