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

2019/03/07 by Taro Sogabe, Sogabe, Taro
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1903.02796

Abstract

The Cuntz-Toeplitz algebra E_n+1 for n\≥1 is the universal C*-algebra\ngenerated by n+1 isometries with mutually orthogonal ranges. In this paper,\nwe investigate the automorphism groups of the Cuntz-Toeplitz algebras and\ndetermine their homotopy groups.\n

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