On finiteness of the N-dimensional Hopf C*-algebras
Blanchard, Etienne
HAL, hal-00922867 / Harvested from HAL
Text on HAL
Given an algebraically closed field $k$ and an integer $N$, D. \c Stefan has proved that there exists only a finite number of Hopf $k$-algebras which are both semi-simple and co-semi-simple. In the C$^*$--algebraic framework, we provide in this note explicit upper-bounds for the number of Hopf C$^*$--algebra structures on a given finite dimensional C$^*$--algebra.
Publié le : 2000-07-04
Classification:  Hopf C*-algebra,  Finite dimensional Kac algebra,  Multiplicative unitary,  16W30, 46L05, 47d35,  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA] 
@article{hal-00922867,
     author = {Blanchard, Etienne},
     title = {On finiteness of the N-dimensional Hopf C*-algebras},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00922867}
}

Blanchard, Etienne. On finiteness of the N-dimensional Hopf C*-algebras. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00922867/