Journal of the Ramanujan Mathematical Society

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Classification of Inductive Limits of Actions of Z2 on Real AF C∗-Algebras


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1 Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario P7B 5E1, Canada
     

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A K-theoretic classification is given of those symmetries on real AF C∗-algebras that arise from inductive limits of symmetries on finite dimensional real C∗-algebras. The invariant consists of a diagram of six K0 groups, with their order structures, certain distinguished elements, a distinguished sub-semigroup of one of them, and period two automorphisms of the K0 groups. As a corollary, we get that cocycle conjugacy and equivariant isomorphism coincide for these systems.
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  • Classification of Inductive Limits of Actions of Z2 on Real AF C∗-Algebras

Abstract Views: 268  |  PDF Views: 0

Authors

A. J. Dean
Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario P7B 5E1, Canada

Abstract


A K-theoretic classification is given of those symmetries on real AF C∗-algebras that arise from inductive limits of symmetries on finite dimensional real C∗-algebras. The invariant consists of a diagram of six K0 groups, with their order structures, certain distinguished elements, a distinguished sub-semigroup of one of them, and period two automorphisms of the K0 groups. As a corollary, we get that cocycle conjugacy and equivariant isomorphism coincide for these systems.