Journal article
C -Subalgebras Generated by a Single Operator in B(H)
Acta applicandae mathematicae, Vol.108(3), pp.625-664
12/2009
DOI: 10.1007/s10440-009-9478-5
Abstract
In this paper, we characterize a C *-subalgebra C *(x) of B(H), generated by a single operator x. We show that if x is polar-decomposed by aq, where a is the partial isometry part and q is the positive operator part of x, then C *(x) is *-isomorphic to the groupoid crossed product algebra Aq×αGa , where Aq=C∗(q) and Ga is the graph groupoid induced by a partial isometry part a of x.
Details
- Title: Subtitle
- C -Subalgebras Generated by a Single Operator in B(H)
- Creators
- Ilwoo ChoPalle E. T Jorgensen
- Resource Type
- Journal article
- Publication Details
- Acta applicandae mathematicae, Vol.108(3), pp.625-664
- DOI
- 10.1007/s10440-009-9478-5
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- Language
- English
- Date published
- 12/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985916602771
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