Geodesic
On Certain K-Groups Associated with Minimal Flows
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 240-244

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

It is known that the Toeplitz algebra associated with any flow which is both minimal and uniquely ergodic always has a trivial ${{K}_{1}}$ -group. We show in this note that if the unique ergodicity is dropped, then such ${{K}_{1}}$ -group can be non-trivial. Therefore, in the general setting of minimal flows, even the $K$ -theoretical index is not sufficient for the classification of Toeplitz operators which are invertible modulo the commutator ideal.
DOI : 10.4153/CMB-1998-034-2
Mots-clés : 46L80, 47B35, 47C15 
Xia, Jingbo. On Certain K-Groups Associated with Minimal Flows. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 240-244. doi: 10.4153/CMB-1998-034-2
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