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

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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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     title = {Spectral {Flows} of {Dilations} of {Fredholm} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {51--68},
     year = {2015},
     volume = {58},
     number = {1},
     doi = {10.4153/CMB-2014-055-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-055-3/}
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