Uniform embeddability and exactness of free products Academic Article uri icon

abstract

  • Let A and B be countable discrete groups and let Γ = A * B be their free product. We show that if both A and B are uniformly embeddable in a Hilbert space then so is Γ. We give two different proofs: the first directly constructs a uniform embedding of Γ from uniform embeddings of A and B; the second works without change to show that if both A and B are exact then so is Γ. © 2003 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Chen, X., Dadarlat, M., Guentner, E., & Yu, G.

citation count

  • 6

complete list of authors

  • Chen, Xiaoman||Dadarlat, Marius||Guentner, Erik||Yu, Guoliang

publication date

  • December 2003