Karoubi Envelope - Automorphisms in The Karoubi Envelope

Automorphisms in The Karoubi Envelope

An automorphism in Split(C) is of the form, with inverse satisfying:

If the first equation is relaxed to just have, then f is a partial automorphism (with inverse g). A (partial) involution in Split(C) is a self-inverse (partial) automorphism.

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