New York Journal of Mathematics
Volume 22 (2016) 1393-1438

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Andrew J. Dean, Dan Kucerovsky, and Aydin Sarraf

Classification of simple unital real AT-algebras

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Published: November 30, 2016
Keywords: Classification, real ATJ-algebras, real C∗-algebras, real K-theory
Subject: 46L35, 46L05
Abstract
In this paper, a classification of simple unital real C∗-algebras that are inductive limits of certain real circle algebras such as C(T,M(n/2)(H)) is given. The invariant consists of certain triples of real K-groups and the tracial state space of the complexification.

Author information

Andrew J. Dean:
Department of Mathematics, Lakehead University, Thunder Bay, Ontario, P7B 5E1, Canada
ajdean@lakeheadu.ca

Dan Kucerovsky:
Department of Mathematics, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada
dkucerov@unb.ca

Aydin Sarraf:
Department of Mathematics, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada
Aydin.Sarraf@unb.ca