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Uuye Otgonbayar

  1. Pseudo-differential Operators and Regularity of Spectral Triples.

    Thu, 11/05/2009 - 16:01 — SomNambul
    Authors: Uuye Otgonbayar
    Subjects: Operator Algebras
    Abstract

    We introduce a notion of an algebra of generalized pseudo-differential
    operators and prove that a spectral triple is regular if and only if it admits
    an algebra of generalized pseudo-differential operators. We also provide a
    self-contained proof of the fact that the product of regular spectral triples
    is regular.

  2. Multiplicativity of the JLO-character.

    Mon, 10/05/2009 - 20:24 — SomNambul
    Authors: Uuye Otgonbayar
    Subjects: K-Theory and Homology
    Abstract

    We prove that the Jaffe-Lesniewski-Osterwalder character is compatible with
    the $A_{\infty}$-structure of Getzler and Jones.

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