The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras

摘要

The Cuntz-Toeplitz algebra E_(n+1) for n ≥ 1 is the universal C*-algebra generated by n + 1 isometries with mutually orthogonal ranges. In this paper, we determine the homotopy groups of the automorphism group of E_(n+1).