REAL STRUCTURE IN PURELY INFINITE C-ALGEBRAS

REAL STRUCTURE IN PURELY INFINITE C-ALGEBRAS

It is shown that if the complexification of a real C*-algebra A is purely infinite then A shares this property. The converse is also established when the complexification is simple, unital and has real rank zero.

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Veröffentlicht in:Journal of operator theory 2003-12, Vol.49 (1), p.77-84
1. Verfasser: STACEY, P.J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Automorphisms
Mathematical theorems
Operator theory
Subalgebras
Unit vectors
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Zusammenfassung:It is shown that if the complexification of a real C*-algebra A is purely infinite then A shares this property. The converse is also established when the complexification is simple, unital and has real rank zero.
ISSN:0379-4024
1841-7744