Geodesic
Dimension of Null Spaces with Applications to Group Rings
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 289-300

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we investigate methods for estimating the dimension of the null space of operators in a finite W* algebra, the dimension being measured by the trace τ. For the most part we are concerned with operators A which are a finite linear combination of orthogonal unitaries. We give various results which show how certain information about the unitaries and the coefficients can be utilized to derive an upper bound for τ(N A ) where NA is the null space of A. 
Promislow, David. Dimension of Null Spaces with Applications to Group Rings. Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 289-300. doi: 10.4153/CJM-1978-026-x
@article{10_4153_CJM_1978_026_x,
     author = {Promislow, David},
     title = {Dimension of {Null} {Spaces} with {Applications} to {Group} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {289--300},
     year = {1978},
     volume = {30},
     number = {2},
     doi = {10.4153/CJM-1978-026-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-026-x/}
}
TY  - JOUR
AU  - Promislow, David
TI  - Dimension of Null Spaces with Applications to Group Rings
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 289
EP  - 300
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-026-x/
DO  - 10.4153/CJM-1978-026-x
ID  - 10_4153_CJM_1978_026_x
ER  - 
%0 Journal Article
%A Promislow, David
%T Dimension of Null Spaces with Applications to Group Rings
%J Canadian journal of mathematics
%D 1978
%P 289-300
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-026-x/
%R 10.4153/CJM-1978-026-x
%F 10_4153_CJM_1978_026_x

[1] 1. Akemann, C. A. and Ostrand, P. A., Computing norms in group C*-algebras, Amer. J. Math. 98 (1976), 1015–1047. Google Scholar

[2] 2. Akemann, C. A. and Ostrand, P. A., On a tensor product C*-algebra associated with the free groups on two generators, preprint. Google Scholar

[3] 3. Dixmier, J., Les algebres d1 operateurs dans Vespace hilbertien, second edition (Gauthier Villars, Paris, 1969). Google Scholar

[4] 4. Gardner, L. T., The trivial null space conjecture for torsion free abelian groups, preprint. Google Scholar

[5] 5. Halmos, P. R., A hilbert space problem book (Van Nostrand, Princeton, 1967). Google Scholar

[6] 6. Passman, D. S., Infinite-group rings (Marcel Dekker, New York, 1971). Google Scholar

[7] 7. Rudin, W. and Schneider, H., Idempotents in group rings, Duke Math. J. 31 (1946), 585–602. Google Scholar

Cité par Sources :