On conjugacy of maximal abelian subalgebras and the outer automorphism group of the Cuntz algebra-Reference-Cited by-同舟云学术

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

Published:2015-04 Issue:2 Volume:145 Page:269-279
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Conti Roberto,Hong Jeong Hee,Szymański Wojciech

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 .

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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