Geodesic
Spectral Flows of Dilations of Fredholm Operators
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 51-68

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

Given an essentially unitary contraction and an arbitrary unitary dilation of it, there is a naturally associated spectral flow that is shown to be equal to the index of the operator. This result is interpreted in terms of the K-theory of an associated mapping cone. It is then extended to connect Z2 indices of odd symmetric Fredholm operators to a Z2-valued spectral flow.
DOI : 10.4153/CMB-2014-055-3
Mots-clés : 19K56, 46L80, spectral flow, Fredholm operators, Z2 indices 
Nittis, Giuseppe De; Schulz-Baldes, Hermann. Spectral Flows of Dilations of Fredholm Operators. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 51-68. doi: 10.4153/CMB-2014-055-3
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