Title of article
Dilating covariant representations of the non-commutative disc algebras
Author/Authors
Kenneth R. Davidson ، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
15
From page
817
To page
831
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 An ×ϕ Z+ is On ×ϕ Z.
© 2010 Elsevier Inc. All rights reserved
Keywords
Dilation , Semicrossed product , Cuntz algebra , Non-commutative disk algebra , crossed product
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840246
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