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• W1515673658 abstract "Following an idea of Ozawa, we give a new proof of Kazhdan’s property (T) for by showing that Δ2 − Δ/6 is a Hermitian sum of squares in the group algebra, where Δ is the unnormalized Laplace operator with respect to the natural generating set. This corresponds to a spectral gap of 1/72 ≈ 0.014 for the associated random-walk operator. The sum-of-squares representation was found numerically by a semidefinite programming algorithm and then turned into an exact symbolic representation, provided in an attached Mathematica file." @default.
• W1515673658 created "2016-06-24" @default.
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• W1515673658 creator A5037710247 @default.
• W1515673658 date "2015-06-23" @default.
• W1515673658 modified "2023-09-25" @default.
• W1515673658 title "Kazhdan’s Property (T) via Semidefinite Optimization" @default.
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• W1515673658 doi "https://doi.org/10.1080/10586458.2014.999149" @default.
• W1515673658 hasPublicationYear "2015" @default.
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