Dilating covariant representations of the non-commutative disc algebras |
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| Authors: | Kenneth R Davidson Elias G Katsoulis |
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| Institution: | a Pure Math. Dept., U. Waterloo, Waterloo, ON N2L-3G1, Canada
b Department of Mathematics, East Carolina University, Greenville, NC 27858, USA |
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| Abstract: | Let φ be an isometric automorphism of the non-commutative disc algebra An for n?2. We show that every contractive covariant representation of (An,φ) dilates to a unitary covariant representation of (On,φ). Hence the C∗-envelope of the semicrossed product Anφ×Z+ is Onφ×Z. |
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| Keywords: | Non-commutative disk algebra Dilation Semicrossed product Cuntz algebra Crossed product |
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