Limit Automorphisms of the C*-Algebras Generated by Isometric Representations for Semigroups of Rationals
- Authors: Gumerov R.N.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 59, No 1 (2018)
- Pages: 73-84
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171662
- DOI: https://doi.org/10.1134/S0037446618010093
- ID: 171662
Cite item
Abstract
We consider inductive sequences of Toeplitz algebras whose connecting homomorphisms are defined by collections of primes. The inductive limits of these sequences are C*-algebras generated by representations for semigroups of rationals. We study the limit endomorphisms of these C*-algebras induced by morphisms between copies of the same inductive sequences of Toeplitz algebras. We establish necessary and sufficient conditions for these endomorphisms to be automorphisms of the algebras.
About the authors
R. N. Gumerov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Renat.Gumerov@kpfu.ru
Russian Federation, Kazan
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