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Operator algebras associated with multi-valued mappings

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Abstract

In the paper a new approach is proposed to construction of operator algebras generated by multi-valued mappings on a countable set. We present initial results, discuss the connection with known structures, outline further research directions.

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References

  1. V. Arzumanian, J. of Math. Sci. 140(3), 354 (2007).

    Article  MathSciNet  Google Scholar 

  2. V. Arzumanian, J. Renault, Examples of pseudogroups and their C*-algebras, in Oper. Alg. and Quant. Field Th. (Rome, 1996), (Int. Press, Cambridge, MA, 93-104, 1997).

    Google Scholar 

  3. R. Exel, J. Funct. Analysis 244, 26 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Exel, Mathematisches Forschungsinstitut Oberwolfach Report 20 (2012).

  5. R. Exel and J. Renault, Ergodic Theory Dynam. Systems 27, 1737 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Grigoryan and A. Kuznetsova, Lobachevskii J. of Math. 29(1), 5 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Grigoryan and A. Kuznetsova, Math. Notes 87(5), 663 (2010).

    Article  MATH  MathSciNet  Google Scholar 

  8. S. Grigoryan and A. Kuznetsova, On a class of nuclear C*-algebras in Proc. of the 23rd Int. Conf. on Operator Theory (Timisoara, Romania, 2010).

    Google Scholar 

  9. K. Schmidt and A. Vershik, Ergodic Theory and Dynamical Systems 28(2), 633 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  10. A. M. Vershik, J. Sov. Math. 23, 2243 (1983).

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Armenia, Marshal Baghramian av. 24/5, Yerevan, 0019, Republic of Armenia

    V. Arzumanian

  2. Chair of Higher Mathematics, Kazan State Energy University, Krasnoselskaya ul. 51, Kazan, 420066, Russia

    S. Grigoryan

  3. Institute of Physics, Kazan Federal University, Kremlevskaya ul. 18, Kazan, 420008, Russia

    A. Kuznetsova

Authors
  1. V. Arzumanian
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  2. S. Grigoryan
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  3. A. Kuznetsova
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Corresponding author

Correspondence to V. Arzumanian.

Additional information

Dedicated to the memory of Prof. Daniyar Mushtari, our colleague and friend

Submitted by P. N. Ivanshin

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Arzumanian, V., Grigoryan, S. & Kuznetsova, A. Operator algebras associated with multi-valued mappings. Lobachevskii J Math 35, 51–55 (2014). https://doi.org/10.1134/S1995080214020036

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  • DOI: https://doi.org/10.1134/S1995080214020036

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