Limits of Inductive Sequences of Toeplitz–Cuntz Algebras

We consider inductive sequences of Toeplitz–Cuntz algebras. The connecting homomorphisms of such a sequence are defined by a finite set of sequences of positive integers. We prove that the inductive limit of such a sequence of Toeplitz–Cuntz algebras is isomorphic to the reduced semigroup -algebra c...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2021-07, Vol.313 (1), p.60-69
Hauptverfasser:	Grigoryan, S. A., Gumerov, R. N., Lipacheva, E. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Algebra Homomorphisms Integers Mathematics Mathematics and Statistics Numbers Semigroups
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