Defines heat properties for countable groups in C*-algebra setting; shows property (T) obstructs the weakest version while Haagerup groups often satisfy the strongest, which implies unique solutions to associated heat problems.
Stratmann: The exponent of convergence of Kleinia n groups; on a theorem of Bishop and Jones
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Heat properties for groups
Defines heat properties for countable groups in C*-algebra setting; shows property (T) obstructs the weakest version while Haagerup groups often satisfy the strongest, which implies unique solutions to associated heat problems.