Publication: Superselection structures for C*-algebras with nontrivial center
Loading...
Identifiers
Publication date
1997
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing
Impact
Export
Abstract
We present and prove some results within the framework of Hilbert C*-systems $\{{\cal F},{\cal G}\}$ with a compact group ${\cal G}$. We assume that the fixed point algebra ${\cal A}\subset{\cal F}$ of ${\cal G}$ has a nontrivial center ${\cal Z}$ and its relative commutant w.r.t. ${\cal F}$ coincides with ${\cal Z}$, i.e., we have ${\cal A}'\cap{\cal F}= {\cal Z}\supset\bbfC\text{\bf 1}$. In this context, we propose a generalization of the notion of an irreducible endomorphism and study the behaviour of such irreducibles w.r.t. ${\cal Z}$. Finally, we give several characterizations of the stabilizer of ${\cal A}$.
Description
35 pages, no figures.-- MSC2000 codes: 46L05, 46L60.
MR#: MR1475657 (99g:46097)
Zbl#: Zbl 0893.46046
MR#: MR1475657 (99g:46097)
Zbl#: Zbl 0893.46046
Keywords
Hilbert C*-systems, Compact group, Nontrivial center, Relative commutant, Irreducible endomorphism, Characterizations of the stabilizer
Bibliographic citation
Reviews in Mathematical Physics, 1997, vol. 9, n. 7, p. 785-819