Coactions on a UHF-algebra induced by a regular coaction of a C*-Hopf algebra on the C*-algebra generated by a Hilbert space
Let k be a finite dimensional Hilbert space and V a multiplicative unitary operator on 7-L ® hi. Baaj and Skandalis showed that V induces a finite dimensional C*-Hopf algebra H and its dual C-Hop f algebra H°. Applying their results, Cuntz constructed a coaction A of if on the Cuntz algebra 0(H), wh...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
|
| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika, Hilbert-tér |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-024-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/48927 |
| Tartalmi kivonat: | Let k be a finite dimensional Hilbert space and V a multiplicative unitary operator on 7-L ® hi. Baaj and Skandalis showed that V induces a finite dimensional C*-Hopf algebra H and its dual C-Hop f algebra H°. Applying their results, Cuntz constructed a coaction A of if on the Cuntz algebra 0(H), which is generated by H. Let A|c be its restriction to a canonical UHFsubalgebra C of 0(71), which is a coaction of H on C. In this paper, we shall show that Aft is an approximately representable coaction of H on C with the Rohlin property. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 223-242 |
| ISSN: | 0001 6969 |