We produce an explicit description of the K-theory and K-homology of the pure braid group on n strands. We describe the Baum–Connes correspondence between the generators of the left-and right-hand sides for n = 4. Using functoriality of the assembly map and direct computations, we recover Oyono-Oyono’s result on the Baum–Connes conjecture for pure braid groups [24]. We also discuss the case of the full braid group on 3-strands.
K-homology and K-theory of pure braid groups
Azzali S.;
2022-01-01
Abstract
We produce an explicit description of the K-theory and K-homology of the pure braid group on n strands. We describe the Baum–Connes correspondence between the generators of the left-and right-hand sides for n = 4. Using functoriality of the assembly map and direct computations, we recover Oyono-Oyono’s result on the Baum–Connes conjecture for pure braid groups [24]. We also discuss the case of the full braid group on 3-strands.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
28-53p.pdf
non disponibili
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
1.38 MB
Formato
Adobe PDF
|
1.38 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
