Browsing by Author "Grigoryan S.A."

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  • 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 ...
  • Local Groups and Their Representations 
    Grigoryan S.A.; Kuznetsova A.Y. (2020)
    © 2020, Allerton Press, Inc. In the paper, we apply the notion of local group in the context of operator algebras, and propose C*-algebraic constructions related to local groups. For a local group we define the concepts ...
  • On C <sup>*</sup>-Algebras Generated by the Set of Probability Distributions 
    Amosov G.G.; Grigoryan S.A.; Kuznetsova A.Y. (2021)
    In this paper, we consider $C^*$-algebrasgenerated by Markov operators induced by aprobabilistic dynamical system. It is shown that in some cases thesealgebras are isomorphic to Toeplitz, Cuntz, and Cuntz–Toeplitzalgebras. ...

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