The asymptotic Assouad-Nagata dimension is a linear version of the asymptotic dimension, and seems to carry more restrictions than other variants of large scale dimensions. By chasing the whereabouts of compact subgroups, we show that the asymptotic Assouad-Nagata dimension of a connected lie group G is the topological dimension of G/K, where K is a maximal compact subgroup of G.

All contents are joint work with Jose Higes.