$C^*$-envelopes of universal free products and semicrossed products for multivariable dynamics

• Autores: Benton L. Duncan
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 57, Nº 4, 2008, págs. 1781-1788
• Idioma: inglés
• DOI: 10.1512/iumj.2008.57.3273
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• Resumen

  • We show that, for a class of operator algebras satisfying a natural condition, the C* -envelope of the universal free product of operator algebras Ai is given by the free product of the C* -envelopes of the Ai . We apply this theorem to, in special cases, the C* -envelope of the semicrossed products for multivariable dynamics in terms of the single variable semicrossed products of Peters.