Limit Automorphisms of the C*-Algebras Generated by Isometric Representations for Semigroups of Rationals

Сибирский математический журнал

R. N. Gumerov¹ 

[1] Kazan (Volga Region) Federal University

关键词: automorphism;    Toeplitz algebra;    inductive sequence;    inductive limit;    limit endomorphism;    semigroup C*-algebra;    semigroup of rationals;    sequence of primes;    solenoid;   

DOI  :  10.1134/S0037446618010093

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY