sofic groups

higman group

Amenability

a-T-menability

fixed point properties

group cohomology

Banach space

hyperbolic groups and generalizations

expander graph

index theory

non-commutative geometry

20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]

11B37 - Recurrences {For applications to special functions, see 33-XX}

43A07 - Means on groups, semigroups, etc.; amenable groups

19-XX - $K$-theory [See also 16E20, 18F25]

57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}

58-XX - Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}

20J06 - Cohomology of groups

46L80 - $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]