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 ca...
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FB/Einrichtung: | FB 10: Mathematik und Informatik |
Dokumenttypen: | Artikel |
Medientypen: | Text |
Erscheinungsdatum: | 2009 |
Publikation in MIAMI: | 20.08.2009 |
Datum der letzten Änderung: | 07.04.2022 |
Quelle: | Münster Journal of Mathematics, 2 (2009), S. 143-182 |
Angaben zur Ausgabe: | [Electronic ed.] |
Fachgebiet (DDC): | 510: Mathematik |
Lizenz: | InC 1.0 |
Sprache: | English |
Format: | PDF-Dokument |
URN: | urn:nbn:de:hbz:6-10569461378 |
Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-10569461378 |
Onlinezugriff: | mjm_vol_2_07.pdf |
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.