# Journal of Operator Theory

Volume 69, Issue 2, Spring 2013 pp. 327-338.

The range of the invariant for ring and $C^*$-algebra direct limits of finite-dimensional semisimple real algebras**Authors**: P.J. Stacey

**Author institution:**Department of Mathematics and Statistics, La Trobe University, Victoria, 3086, Australia

**Summary:**A description is given of the diagrams which arise as classifying invariants for ring and $C^*$-algebra direct limits of countable sequences of finite-dimensional semisimple real algebras.

**DOI:**http://dx.doi.org/10.7900/jot.2010dec14.1934

**Keywords:**real $C^*$-algebra, approximately finite-dimensional, direct limit, range, invariant

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