Journal of the Ramanujan Mathematical Society

Andrew J. Dean ¹, Toan Minh Ho ²

Affiliations
1 Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario P7B 5E1, CA
2 Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay, Ha Noi 10307, VN

Abstract

In this paper we present a classification, up to equivariant isomorphism, of C*-dynamical systems (A,ℝ, α) arising as inductive limits of directed systems {(A_n,ℝ, α_n ), φ_nm} where each A_n is a finite direct sum of matrix algebras over the continuous functions on the unit interval and the α_n is generated by an inner derivation coming from a self-adjoint element with finite spectrum.

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Andrew J. Dean ¹

Affiliations
1 Department of Mathematical Sciences Lake Head University, 955 Oliver Road, Thunder Bay, Ontario P7B 5E1, CA

Abstract

In this paper we present a classification for C*-dynamical systems (A,ℝ,α) of the following form. There exists a sequence {A_n} of C*-algebras each isomorphic to a finite direct sum of matrix algebras over the unit interval, actions α_n of ℝ on A_n generated by elements with finite spectrum, and equivariant connecting ∗-homomorphisms φ_nm:A_n→A_m satisfying a certain technical assumption, such that (A,ℝ, α) is the limit of the inductive system {(A_n, α_n), φ_nm}.

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