A coarse geometric approach to the generalised Green-Julg Theorem
Liang Guo, Qin Wang
TL;DR
This paper offers a new proof of the generalized Green-Julg theorem using coarse geometric methods and twisted localization algebras, making the theorem more accessible to those in coarse geometry.
Contribution
It introduces a coarse geometric approach to prove the generalized Green-Julg theorem, bridging KK-theory and coarse geometry techniques.
Findings
Provides a new proof of the generalized Green-Julg theorem
Uses twisted localization algebras in the proof
Makes the theorem more accessible to coarse geometers
Abstract
In this note, we provide a proof of the generalised Green-Julg theorem by using the language of twisted localization algebras introduced by G. Yu. This proof is for those who have interests in coarse geometry but not so familiar with KK-theory or E-theory
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra