Group Actions on Quasi-Baer Rings

Jin, Hai Lan ; Doh, Jaekyung ; Park, Jae Keol

Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 564-582

Résumé

A ring $R$ is called quasi-Baer if the right annihilator of every right ideal of $R$ is generated by an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings and fixed rings under a finite group action on a semiprime ring and their applications to ${{C}^{*}}$ -algebras. Various examples to illustrate and delimit our results are provided.

Détail

DOI : 10.4153/CMB-2009-057-6

Mots-clés : 16S35, 16W22, 16S90, 16W20, 16U70, (quasi-) Baer ring, fixed ring, skew group ring, C*-algebra, local multiplier algebra

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