VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Addendum to "Connes' embedding conjecture and sums of hermitian squares" : [Adv. Math. 217 (4) (2008) 1816-1837]
    Burgdorf, Sabine ...
    We show that Connes' embedding conjecture (CEC) is equivalent to a real version of the same (RCEC). Moreover, we show that RCEC is equivalent to a real, purely algebraic statement concerning trace ... positive polynomials. This purely algebraic reformulation of CEC had previously been given in both a real and a complex version in a paper of the last two authors. The second author discovered a gap in this earlier proof of the equivalence of CEC to the real algebraic reformulation (the proof of the complex algebraic reformulation being correct). In this note, we show that this gap can be filled with help of the theory of real von Neumann algebras.
    Vir: Advances in mathematics. - ISSN 0001-8708 (Vol. 252, 2014, str. 805-811)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 17631577

    Povezava(-e):

    http://dx.doi.org/10.1016/j.aim.2013.10.020

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