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A Haagerup Inequality For A1 X A1 And A2 Buildings, Jacqueline Ramagge, Guyan Robertson, Tim Steger

Faculty of Informatics - Papers (Archive)

Haagerup's inequality for convolvers on free groups may be interpreted as a result on A₁ buildings, i.e. trees. Here are proved analogous inequalities for discrete groups acting freely on the vertices of A₁ x A₁ and A₂ buildings. The results apply in particular to groups of typerotating automorphisms acting simply transitively on the vertices of such buildings. These results provide the first examples of higher rank groups with property (RD).