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

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DOI

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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     title = {On {Certain} {K-Groups} {Associated} with {Minimal} {Flows}},
     journal = {Canadian mathematical bulletin},
     pages = {240--244},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-034-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-034-2/}
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