On a class of C*-algebras generated by a countable family of partial isometries |
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Authors: | Yu Kuznetsova |
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Institution: | 1. Kazan State University, Kazan, Russia
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Abstract: | The paper investigates the properties of an operator T φ on the Hilbert space l 2(?), which are induced by the mapping φ of the set ? into itself. It is shown if the mapping φ is such that every preimage has finite, but not equipotentionally bounded cardinality, then the operator T φ allows a closure and can be represented as a countable sum of partial isometries. The C*-algebras U φ , P φ and U φ associated with given mappings and generated by the mentioned partial isometries are considered. Some properties of these algebras and some relations between them are given. |
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