Mikhail Gefter: Six Conversations and Two Articles

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We establish a new spectral criterion for Kazhdan's property (T) which is applicable to a large class of discrete groups defined by generators and relations. As the main application, we prove property (T) for the groups ELn(R), where n ≥ 3 and R is an arbitrary finitely generated associative ring. We also strengthen some of the results on property (T) for Kac-Moody groups from [DJ].

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ژورنال

عنوان ژورنال: Philosophy. Journal of the Higher School of Economics

سال: 2020

ISSN: 2587-8719

DOI: 10.17323/2587-8719-2020-2-13-162