2019
Том 71
№ 11

All Issues

$C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems

Maistrenko T. Yu., Popovich S. V.

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Abstract

We consider $C*$-algebras associated with simple unimodal one-dimensional ambiguous dynamical systems $(f,R)$ with certain special restrictions. For these algebras, we present a complete classification of irreducible representations in Hilbert spaces and describe the dual space. As an example, we consider the one-parameter family $f_{μ}(x) = μx(1 − x)$.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 7, pp 1106–1115.

Citation Example: Maistrenko T. Yu., Popovich S. V. $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems // Ukr. Mat. Zh. - 2001. - 53, № 7. - pp. 929-938.

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