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An enrichment of KK-theory over the category of symmetric spectra

In [6] Higson showed that the formal properties of the Kasparov KK-theory groups are best understood if one regards KK(A,B) for separable C*-algebras A,B as the morphism set of a category KK. In category language the composition and exterior KKproduct give KK the structure of a symmetric monoidal category which is enriched over abelian groups. We show that the enrichment of KK can be lifted to an enrichment over the category of symmetric spectra.

Titel: An enrichment of KK-theory over the category of symmetric spectra
Verfasser: Joachim, Michael
Stolz, Stephan
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2009
Publikation in MIAMI: 20.08.2009
Datum der letzten Änderung: 17.04.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 2 (2009), S. 143 - 182
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-10569461378
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-10569461378
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