The algebraization of Kazhdan’s property (T)
Yehuda Shalom
Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv, Israel
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Abstract
We present the surge of activity since 2005, around what we call the algebraic (as contrasted with the geometric) approach to Kazhdan’s property (T). The discussion includes also an announcement of a recent result (March 2006) regarding property (T) for linear groups over arbitrary finitely generated rings.