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Title: K-homology and K-theory for pure braid groups
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.  more » « less
Award ID(s):
1928930
PAR ID:
10420186
Author(s) / Creator(s):
; ; ; ;
Date Published:
Journal Name:
New York journal of mathematics
Volume:
28
ISSN:
1076-9803
Page Range / eLocation ID:
1256-1294
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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