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Classification of Certain Inductive Limit Type Actions on Approximate Interval Algebras


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

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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 {(An,ℝ, αn ), φnm} where each An is a finite direct sum of matrix algebras over the continuous functions on the unit interval and the αn is generated by an inner derivation coming from a self-adjoint element with finite spectrum.
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  • Classification of Certain Inductive Limit Type Actions on Approximate Interval Algebras

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Authors

Andrew J. Dean
Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario P7B 5E1, Canada
Toan Minh Ho
Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay, Ha Noi 10307, Viet Nam

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 {(An,ℝ, αn ), φnm} where each An is a finite direct sum of matrix algebras over the continuous functions on the unit interval and the αn is generated by an inner derivation coming from a self-adjoint element with finite spectrum.