Tracial Approximation and Tracial Toms-Winter Conjecture

Xuanlong Fu  (Fudan University)

14:00-15:00, April 9,2019   Science Building A510

Abstract:

In this talk, we introduce a new idea of tracial approximation, with its root in Huaxin Lin's tracial rank. Correspondingly, we have tracially nuclear, tracial nuclear dimension, tracially Z-stable, and so on. Using these notions, we show that a tracial version of Toms-Winter conjecture (the part of equivalence between finite nuclear dimension and Z-stability) holds. This is a joint work with Huaxin Lin.

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