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math.FA2013
Negative definite functions and a dynamical characterization of property (T) for countable groups
Guyan Robertson, Tim Steger
A class of negative definite kernels is defined in terms of measure spaces. Using this concept, property (T) for a countable group $\G$ is characterized in terms of measure preserv…
math.FA2013
A Haagerup Inequality for $\tA_1\times\tA_1$ and $\tA_2$ Buildings
Jacqui Ramagge, Guyan Robertson, Tim Steger
Haagerup's inequality for convolvers on free groups may be interpreted as a result on $\tA_1$ buildings, i.e. trees. Here are proved analogous inequalities for discrete groups acti…