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.
Haagerup: An example of a nonnuclear C ∗-algebra, which has the metric approx- imation property
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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.