期刊论文详细信息
Сибирский математический журнал | |
Limit Automorphisms of the |
|
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
【 预 览 】
Files | Size | Format | View |
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RO201910250474989ZK.pdf | 206KB | download |