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...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| 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 |
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| 005 | 20260224081030.0 | ||
| 008 | 170711s2017 hu o 000 eng d | ||
| 022 | |a 0001 6969 | ||
| 024 | 7 | |a 10.14232/actasm-016-024-9 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Kodaka Kazunori | |
| 245 | 1 | 0 | |a Coactions on a UHF-algebra induced by a regular coaction of a C*-Hopf algebra on the C*-algebra generated by a Hilbert space |h [elektronikus dokumentum] / |c Kodaka Kazunori |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2017 | ||
| 300 | |a 223-242 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 83 No. 1-2 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Hilbert-tér | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/48927/1/math_083_numb_001-002_223-242.pdf |z Dokumentum-elérés |