The algebraization of Kazhdan’s property (T)
Yehuda ShalomRaymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv, Israel
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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.