A descent homomorphism for semimultiplicative sets
Bernhard Burgstaller
TL;DR
This paper introduces a framework for crossed products by semimultiplicative sets and establishes a $KK$-theoretical descent homomorphism analogous to that for discrete groups, advancing operator algebra theory.
Contribution
It defines and analyzes crossed products by semimultiplicative sets and proves a $KK$-theoretic descent homomorphism for these structures, extending group-based results.
Findings
Defined basic analysis of crossed products by semimultiplicative sets
Proved a $KK$-theoretical descent homomorphism for these sets
Extended group descent homomorphism concepts to semimultiplicative sets
Abstract
We define and provide some basic analysis of various types of crossed products by semimultiplicative sets, and then prove a -theoretical descent homomorphisms for semimultiplicative sets in accord with the descent homomorphism for discrete groups.
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