$C^*$-envelopes of universal free products and semicrossed products for multivariable dynamics
Benton Duncan
47L3046L09$C^*$-envelopesfree productssemicrossed productsuniversal operator algebrasmultivariable dynamics
We show that, for a class of operator algebras satisfying a natural condition, the $C^{*}$-envelope of the universal free product of operator algebras $A_i$ is given by the free product of the $C^{*}$-envelopes of the $A_i$. 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.
Indiana University Mathematics Journal
2008
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10.1512/iumj.2008.57.3273
10.1512/iumj.2008.57.3273
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Indiana Univ. Math. J. 57 (2008) 1781 - 1788
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