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

Abstract

The Cuntz-Toeplitz algebra En+1 for n≥1 is the universal C*-algebra generated by n+1 isometries with mutually orthogonal ranges. In this paper, we investigate the automorphism groups of the Cuntz-Toeplitz algebras and determine their homotopy groups.

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