TL;DR
This paper demonstrates that the KE^G bivariant K-theory introduced by Dumitrascu naturally contains Kasparov's KK^G as a direct summand, establishing a structural relationship between these theories.
Contribution
It proves that KE^G factors through KK^G, showing KE^G contains KK^G as a direct summand, clarifying their relationship in bivariant K-theory.
Findings
KE^G factors through KK^G for any locally compact group G
KE^G contains KK^G as a direct summand
Establishes a structural link between KE^G and KK^G
Abstract
We show that the character from the bivariant K-theory KE^G introduced by Dumitrascu to E^G factors through Kasparov's KK^G for any locally compact group G. Hence KE^G contains KK^G as a direct summand.
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