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Theory of Operator Algebras II
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The article was published on 1979-01-01 and is currently open access. It has received 3776 citations till now. The article focuses on the topics: Nest algebra & Ladder operator.read more
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From subfactor planar algebras to subfactors
Vijay Kodiyalam,V. S. Sunder +1 more
TL;DR: In this paper, the authors present a purely planar algebraic proof of the main result of Guionnet-Jones-Shlaykhtenko which constructs an extremal subfactor from a subfactor algebra whose standard invariant is given by the algebra.
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A ${\mathbb Z}_2$-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
TL;DR: In this article, the authors introduce a time reversal invariant index for Hamiltonians with unique gapped ground state on quantum spin chains, which is an invariant of a $C^1$-classification of gapped Hamiltonians.
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More properties of the product of two derivations of a C*-algebra
TL;DR: In this paper, it was shown that the product of two non-zero derivations of a prime C*-algebra is bounded only if both of them are bounded, and the product is bounded if both derivations are bounded.
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Complete positivity of nonlinear evolution : a case study
Marek Czachor,Maciej Kuna +1 more
TL;DR: In the nonlinear case this does not happen because the mathematical definition is physically unfitting as shown in a concrete example as mentioned in this paper, which shows that negative probabilities have to appear for some system that contains the subsystem in question.
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On the best constants in noncommutative Khintchine-type inequalities
Uffe Haagerup,Magdalena Musat +1 more
TL;DR: In this article, the Pisier and Lust-Piquard non-commutative Khintchine inequality with matrix coefficients was shown to be cb-isomorphic to a subspace of the predual of the hyperfinite factor of type III_1.