The index homomorphism of even K-groups from a KK-class is computed by a spectral localizer built from continuous functions of an unbounded Dirac operator.
The functional calculus for regular operators in Hilbert C*-modules revisited
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abstract
Woronowicz introduced the functional calculus for normal operators in Hilbert C*-modules. The aim of this paper is to translate, if possible, some basic properties of the functional calculus in Hilbert spaces to the Hilbert C*-module framework.
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Spectral localizers in KK-theory
The index homomorphism of even K-groups from a KK-class is computed by a spectral localizer built from continuous functions of an unbounded Dirac operator.