Geodesic
NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS
Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 119-136

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

DOI

Leti ${\Bbb F}$n be the free group of rank n and let $\bigoplus C^{*}({\Bbb F}_{n})$ denote the direct sum of full group C*-algebras $C^{*}({\Bbb F}_{n})$ of ${\Bbb F}_{n} (1\leq n<\infty$). We introduce a new comultiplication Δφ on $\bigoplus C^{*}({\Bbb F}_{n})$ such that $(\bigoplus C^{*}({\Bbb F}_{n}),\,\Delta_{\varphi})$ is a non-cocommutative C*-bialgebra. With respect to Δφ, the tensor product π⊗φπ′ of any two representations π and π′ of free groups is defined. The operation ×φ is associative and non-commutative. We compute its tensor product formulas of several representations. 
KAWAMURA, KATSUNORI. NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS. Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 119-136. doi: 10.1017/S0017089515000099
@article{10_1017_S0017089515000099,
     author = {KAWAMURA, KATSUNORI},
     title = {NON-COCOMMUTATIVE {C*-BIALGEBRA} {DEFINED} {AS} {THE} {DIRECT} {SUM} {OF} {FREE} {GROUP} {C*-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {119--136},
     year = {2016},
     volume = {58},
     number = {1},
     doi = {10.1017/S0017089515000099},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000099/}
}
TY  - JOUR
AU  - KAWAMURA, KATSUNORI
TI  - NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS
JO  - Glasgow mathematical journal
PY  - 2016
SP  - 119
EP  - 136
VL  - 58
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000099/
DO  - 10.1017/S0017089515000099
ID  - 10_1017_S0017089515000099
ER  - 
%0 Journal Article
%A KAWAMURA, KATSUNORI
%T NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS
%J Glasgow mathematical journal
%D 2016
%P 119-136
%V 58
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000099/
%R 10.1017/S0017089515000099
%F 10_1017_S0017089515000099

Cité par Sources :