A note of Zuk's criterion

Mathematics – Representation Theory

Scientific paper

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4 pages

Scientific paper

Zuk's criterion give us a condition for a finitely generated group to have
Property(T): the smallest non - zero eigenvalue of Laplace operator
corresponding to the simple random walk on the associated graph have to be
greater than 1/2. We present here two examples that prove that this condition
cannot be improved.

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