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A simple nuclear $C^*$-algebra with an internal asymmetry

Ilan Hirshberg and N. Christopher Phillips

Vol. 16 (2023), No. 3, 711–745
Abstract

We construct an example of a simple approximately homogeneous C-algebra such that its Elliott invariant admits an automorphism which is not induced by an automorphism of the algebra.

Keywords
$C^*$-algebras, Elliott invariant
Mathematical Subject Classification
Primary: 46L35, 46L40, 46L80
Milestones
Received: 1 August 2020
Revised: 16 July 2021
Accepted: 23 August 2021
Published: 25 May 2023
Authors
Ilan Hirshberg
Department of Mathematics
Ben Gurion University of the Negev
Be’er Sheva
Israel
N. Christopher Phillips
Department of Mathematics
University of Oregon
Eugene, OR
United States

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