More Like this

1. K-homology and K-theory for pure braid groups

   Azzali, Sara ; Browne, Sarah L. ; Gomez Aparicio, Maria Paula ; Ruth, Lauren C. ; Wang, Hang ( January 2022 , New York journal of mathematics)

   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
2. Genuine‐commutative structure on rational equivariant K$K$‐theory for finite abelian groups

   https://doi.org/10.1112/blms.12616  

   Bohmann, Anna Marie ; Hazel, Christy ; Ishak, Jocelyne ; Kędziorek, Magdalena ; May, Clover ( June 2022 , Bulletin of the London Mathematical Society)
3. Third Homology of some Sporadic Finite Groups

   https://doi.org/10.3842/SIGMA.2019.059  

   Johnson-Freyd, Theo ; Treumann, David ( August 2019 , Symmetry, Integrability and Geometry: Methods and Applications)
4. Central stability for the homology of congruence subgroups and the second homology of Torelli groups

   https://doi.org/10.1016/j.aim.2019.106740  

   Miller, Jeremy ; Patzt, Peter ; Wilson, Jennifer C.H. ( October 2019 , Advances in Mathematics)
5. Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture

   https://doi.org/10.24033/asens.2537  

   CALEGARI, Frank ; GAROUFALIDIS, Stavros ; ZAGIER, Don ( January 2023 , Annales scientifiques de l'École Normale Supérieure)