The paper provides a short overview of a series of articles devoted to C*-algebras generated by a self-mapping on a countable set. Such an algebra can be seen as a representation of the universal C*-algebra generated by a family of partial isometries satisfying a set of conditions. These conditions are determined by the initial mapping.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 437, 2015, pp. 131–144.
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Kuznetsova, A.Y. On a Class of Operator Algebras Generated by a Family of Partial Isometries. J Math Sci 216, 84–93 (2016). https://doi.org/10.1007/s10958-016-2889-8
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DOI: https://doi.org/10.1007/s10958-016-2889-8