Journal of the Ramanujan Mathematical Society
Volume 30, Issue 2, June 2015 pp. 161–178.
Classification of inductive limits of actions of Z2 on real AF C*-algebras
Authors:
A. J. Dean
Author institution:Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, Ontario, Canada, P7B 5E1
Summary:
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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