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On the Unbounded Picture of KK-Theory
2020
Symmetry, Integrability and Geometry: Methods and Applications
In the founding paper on unbounded KK-theory it was established by Baaj and Julg that the bounded transform, which associates a class in KK-theory to any unbounded Kasparov module, is a surjective homomorphism (under a separability assumption). In this paper, we provide an equivalence relation on unbounded Kasparov modules and we thereby describe the kernel of the bounded transform. This allows us to introduce a notion of topological unbounded KK-theory, which becomes isomorphic to KK-theory
doi:10.3842/sigma.2020.082
fatcat:2zjdmutaqnbwvbjl666uvv67fi