Geodesic
The Index Theory Associated to a Non-Finite Trace on a C*-Algebra
Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 251-259

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

The index theory considered in this paper, a generalisation of the classical Fredholm index theory, is obtained in terms of a non-finite trace on a unital ${{C}^{*}}$ -algebra. We relate it to the index theory of M. Breuer, which is developed in a von Neumann algebra setting, by means of a representation theorem. We show how our new index theory can be used to obtain an index theorem for Toeplitz operators on the compact group $\text{U}\left( 2 \right)$ , where the classical index theory does not give any interesting result.
DOI : 10.4153/CMB-2005-023-1
Mots-clés : 46L, 47B35, 47L80 
Murphy, G. J. The Index Theory Associated to a Non-Finite Trace on a C*-Algebra. Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 251-259. doi: 10.4153/CMB-2005-023-1
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