Browsing by Author "Lipacheva E.V."

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  • Inductive Systems of C<sup>*</sup>-Algebras over Posets: A Survey 
    Gumerov R.N.; Lipacheva E.V. (2020)
    © 2020, PleiadesT Publishing,T Ltd. Abstract: We survey the research on the inductive systems of C*-algebras over arbitrary partially ordered sets. The motivation for our work comes from the theory of reduced semigroup ...
  • Limits of Inductive Sequences of Toeplitz–Cuntz Algebras 
    Grigoryan S.A.; Gumerov R.N.; Lipacheva E.V. (2021)
    Abstract: We consider inductive sequences of Toeplitz–Cuntz algebras. The connecting homomorphisms of such a sequence are defined by a finite set of sequences of positive integers. We prove that the inductive limit of such ...
  • On the Stone–Čech Compactification Functor and the Normal Extensions of Monoids 
    Berdnikov I.S.; Gumerov R.N.; Lipacheva E.V. (2021)
    Abstract: The paper deals with extensions of algebraic and topological monoids. The extensions are defined by short exact sequences of objects and morphisms in the corresponding categories of monoids and their homomorphisms. ...
  • Topological grading of semigroup C*-algebras 
    Gumerov R.N.; Lipacheva E.V. (2020)
    © Author(s), 2020 The paper deals with the abelian cancellative semigroups and the reduced semigroup C*-algebras. It is supposed that there exist epimorphisms from the semigroups onto the group of integers modulo n. For ...

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