Weak amenability and C*-exactness for infinitely presented small cancellation groups

Let GG be a finitely generated group defined by an infinite presentation satisfying the small cancellation condition C(1/10)C'(1/10). Weak amenability and CC^*-exactness (equivalently, Guoliang Yu's property A) should hold for GG. Small cancellation approximation conjecture. Every such group GG is weakly amenable and CC^*-exact. This would extend the known Metric Approximation Property for the reduced CC^*-algebra and Fourier algebra of these groups to stronger approximation properties; the source postpones further considerations to future work.

Sources & referencesView supporting material

Primary source

Goulnara Arzhantseva and Cornelia Drutu, “Geometry of infinitely presented small cancellation groups, Rapid Decay and quasi-homomorphisms”, arXiv:1212.5280 (2012).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.