Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T17:39:16.386Z Has data issue: false hasContentIssue false
  • English
  • Français

On conjugacy of maximal abelian subalgebras and the outer automorphism group of the Cuntz algebra

Published online by Cambridge University Press:  02 April 2015

Roberto Conti ,
Jeong Hee Hong  and
Wojciech Szymański
Roberto Conti
Affiliation:
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sezione di Matematica, Sapienza Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy, ([email protected])
Jeong Hee Hong
Affiliation:
Department of Data Information, Korea Maritime and Ocean University, Busan 606–791, Republic of Korea, ([email protected])
Wojciech Szymański
Affiliation:
Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark, ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of maximal abelian subalgebras in . In particular, we exhibit an uncountable family of maximal abelian subalgebras, conjugate to the standard maximal abelian subalgebra via Bogolubov automorphisms, that are not inner conjugate to .

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 2 , April 2015 , pp. 269 - 279
Copyright
Copyright © Royal Society of Edinburgh 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)