Dilating Covariant Representations of the Non-commutative Disc Algebras

نویسندگان

  • KENNETH R. DAVIDSON
  • ELIAS G. KATSOULIS
چکیده

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.

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تاریخ انتشار 2009