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Operator norm stability of virtually Abelian groups

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OGGW04 - Stability and probabilistic methods

The notion of matrix stability of discrete groups with respect to the operator norm is naturally strengthened to weak stability and C-stability via existing notions of semiprojectivity applied to the group C-algebras.In ongoing joint work with Dadarlat and Shulman, we strive to characterize when these three properties hold for virtually Abelian groups. I will present the full solution of the Abelian case, as well as partial results for non-Abelian virtually Abelian groups which are suggestive of how such a characterization would pan out.

This talk is part of the Isaac Newton Institute Seminar Series series.

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CUSU Lounge, 17 Mill Lane Seminar Room, Medical Research Council Cognition and Brain Sciences Unit Wolfson Lecture Room (AL.06), Centre for Mathematical Sciences

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