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| Titel: |
Normal Generation of Unitary Groups of Cuntz Algebras by Involutions |
| Auteur: |
A. Al-Rawashdeh |
| Verschenen in: |
Acta mathematica Universitatis Comenianae |
| Paginering: | Jaargang LXXVII (2008) nr. 1 pagina's 1-7 |
| Jaar: |
2008 |
| Inhoud: |
In purely infinite factors, P. de la Harpe proved that a normal subgroup of the unitary group which contains a non-trivialself-adjoint unitary contains all self-adjoint unitaries of thefactor. Also he proved the same result in finite continuous factors. In a previous work the author proved a similar result in some typesof unital AF-algebras. In this paper we extend the result of de la Harpe, concerning the purely infinite factors to a main example ofpurely infinite <i>C</i><sup>*</sup>-algebras called the Cuntz algebras O<i><sub>n</sub></i>(2 <FONT SIZE='3' FACE='Symbol'>£</FONT> <i>n</i> <FONT SIZE='3' FACE='Symbol'>£</FONT> <FONT SIZE='3' FACE='Symbol'>¥</FONT>) and we prove that <i>U</i>(O<i><sub>n</sub></i>) is normally generated by some non-trivial involution. In particular, in the Cuntz algebra O<i><sub><FONT SIZE='3' FACE='Symbol'>¥</FONT></sub></i> we prove that <i>U</i>(O<i><sub><FONT SIZE='3' FACE='Symbol'>¥</FONT></sub></i>) is normally generated by self-adjoint unitary of odd type. |
| Uitgever: |
Acta Mathematica Universitatis Comenianae, Institute of Applied Mathematics (provided by DOAJ) |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 33 van 68 gevonden artikelen
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