Geodesic
Decomposition of topological Azumaya algebras
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 506-524

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

DOI

Let $\mathscr {A}$ be a topological Azumaya algebra of degree $mn$ over a CW complex X. We give conditions for the positive integers m and n, and the space X so that $\mathscr {A}$ can be decomposed as the tensor product of topological Azumaya algebras of degrees m and n. Then we prove that if $m and the dimension of X is higher than $2m+1$, $\mathscr {A}$ may not have such decomposition.
DOI : 10.4153/S000843952100045X
Mots-clés : Topological Azumaya algebra, projective unitary group 
Arcila-Maya, Niny. Decomposition of topological Azumaya algebras. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 506-524. doi: 10.4153/S000843952100045X
@article{10_4153_S000843952100045X,
     author = {Arcila-Maya, Niny},
     title = {Decomposition of topological {Azumaya} algebras},
     journal = {Canadian mathematical bulletin},
     pages = {506--524},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S000843952100045X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952100045X/}
}
TY  - JOUR
AU  - Arcila-Maya, Niny
TI  - Decomposition of topological Azumaya algebras
JO  - Canadian mathematical bulletin
PY  - 2022
SP  - 506
EP  - 524
VL  - 65
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S000843952100045X/
DO  - 10.4153/S000843952100045X
ID  - 10_4153_S000843952100045X
ER  - 
%0 Journal Article
%A Arcila-Maya, Niny
%T Decomposition of topological Azumaya algebras
%J Canadian mathematical bulletin
%D 2022
%P 506-524
%V 65
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S000843952100045X/
%R 10.4153/S000843952100045X
%F 10_4153_S000843952100045X

Cité par Sources :