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Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting concentrated primarily on those aspects of Noncommutative Geometry that are related to index theory and on the connections between operator algebras and number theory.
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Alain Connes, Joachim Cuntz, Marc A. Rieffel, Guoliang Yu, Noncommutative Geometry. Oberwolfach Rep. 8 (2011), no. 3, pp. 2549–2622DOI 10.4171/OWR/2011/45