Subexponential group cohomology and the K-theory of Lafforgue's algebra   A_{max}(pi)
  We show that for any finitely generated group G, group cohomology classes represented by cocycles of subexponential growth are extendable over the topological K-groups of the Lafforgue algebra associated to G. 
R. Ji, C. Ogle
math.KT math.OA