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Lie Group Quantum Mathematics Seminar

"Standard and non-standard filtrations and tensor-like products of algebras (NOTE: JOINT LIE GROUP/LOGIC SEMINAR!!)"

Anatoly Vershik, St. Petersburg Department of Steklov Institute of Mathematics

Location:  HILL 705
Date & time: Friday, 28 April 2017 at 12:00PM - 1:00PM

Abstract: the problem of the classification of the decreasing sequences of algebras (or sigma-fileds) leads to the fundmental notion of standardness. The main partial case is classification of dyadic filtrations or classification of infinite tensor-like product of algebras \(M_2(C)\). The tool of classifiction is criteria of standardness; the invariants in general case is "highest Kolmogorov 0-1 laws" which tell us about behavior of filtrations in infinity".

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