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Regularity of simple nuclear real C*-algebras under tracial conditions

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  30 April 2021

P. J. Stacey
P. J. Stacey*
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Melbourne, Victoria3086, Australia (p.stacey@latrobe.edu.au)
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Abstract

The Toms–Winter conjecture is verified for those separable, unital, nuclear, infinite-dimensional real C*-algebras for which the complexification has a tracial state space with compact extreme boundary of finite covering dimension.

Keywords

real C*-algebraToms–Winter conjecture

MSC classification

Primary: 46L05: General theory of $C^*$-algebras 46L35: Classifications of $C^*$-algebras
Secondary: 46L30: States
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 64 , Issue 2 , May 2021 , pp. 139 - 147
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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