On the relation between K- and L-theory of complex C*-Algebras
On the relation between K- and L-theory of complex C*-Algebras
Dokument öffnen (710.9KB)Art der Hochschulschrift
DissertationPrüfungsdatum
24.06.2016Datum der Veröffentlichung
26.07.2016Erstgutachter
Lück, WolfgangZweitgutachter
Bunke, UlrichMetadaten
Zur Langanzeige
Zitierbare Links 
Inhalt
We study the space of natural transformations from connective topological K-theory to algebraic L-theory viewed as functors from C*-algebras to spectra. We prove the existence of a transformation which witnesses the well-known isomorphism between K- and L-groups and becomes an equivalence (of spectra) after inverting 2.
Schlagwörter
C*-algebras, K-theory, L-theory, homotopy theory
Klassifikation (DDC)
510 MathematikLand, Markus: On the relation between K- and L-theory of complex C*-Algebras. - Bonn, 2016. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-44326
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-44326
@phdthesis{handle:20.500.11811/6855,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-44326,
author = {{Markus Land}},
title = {On the relation between K- and L-theory of complex C*-Algebras},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2016,
month = jul,
note = {We study the space of natural transformations from connective topological K-theory to algebraic L-theory viewed as functors from C*-algebras to spectra. We prove the existence of a transformation which witnesses the well-known isomorphism between K- and L-groups and becomes an equivalence (of spectra) after inverting 2.},
url = {https://hdl.handle.net/20.500.11811/6855}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-44326,
author = {{Markus Land}},
title = {On the relation between K- and L-theory of complex C*-Algebras},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2016,
month = jul,
note = {We study the space of natural transformations from connective topological K-theory to algebraic L-theory viewed as functors from C*-algebras to spectra. We prove the existence of a transformation which witnesses the well-known isomorphism between K- and L-groups and becomes an equivalence (of spectra) after inverting 2.},
url = {https://hdl.handle.net/20.500.11811/6855}
}
Die folgenden Nutzungsbestimmungen sind mit dieser Ressource verbunden:
