Geodesic
Spectral Flow for Nonunital Spectral Triples
Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 759-794

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

DOI

We prove two results about nonunital index theory left open in a previous paper. Thefirst is that the spectral triple arising from an action of the reals on a ${{C}^{*}}$ -algebra with invariant trace satisfies the hypotheses of the nonunital local index formula. The second result concerns the meaning of spectral flow in the nonunital case. For the special case of paths arising from the odd index pairing for smooth spectral triples in the nonunital setting, we are able to connect with earlier approaches to the analytic definition of spectral flow.
DOI : 10.4153/CJM-2014-042-x
Mots-clés : 46H30, spectral triple, spectral flow, local index theorem 
Carey, A. L.; Gayral, V.; Phillips, J.; Rennie, A.; Sukochev, F. A. Spectral Flow for Nonunital Spectral Triples. Canadian journal of mathematics, Tome 67 (2015) no. 4, pp. 759-794. doi: 10.4153/CJM-2014-042-x
@article{10_4153_CJM_2014_042_x,
     author = {Carey, A. L. and Gayral, V. and Phillips, J. and Rennie, A. and Sukochev, F. A.},
     title = {Spectral {Flow} for {Nonunital} {Spectral} {Triples}},
     journal = {Canadian journal of mathematics},
     pages = {759--794},
     year = {2015},
     volume = {67},
     number = {4},
     doi = {10.4153/CJM-2014-042-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-042-x/}
}
TY  - JOUR
AU  - Carey, A. L.
AU  - Gayral, V.
AU  - Phillips, J.
AU  - Rennie, A.
AU  - Sukochev, F. A.
TI  - Spectral Flow for Nonunital Spectral Triples
JO  - Canadian journal of mathematics
PY  - 2015
SP  - 759
EP  - 794
VL  - 67
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-042-x/
DO  - 10.4153/CJM-2014-042-x
ID  - 10_4153_CJM_2014_042_x
ER  - 
%0 Journal Article
%A Carey, A. L.
%A Gayral, V.
%A Phillips, J.
%A Rennie, A.
%A Sukochev, F. A.
%T Spectral Flow for Nonunital Spectral Triples
%J Canadian journal of mathematics
%D 2015
%P 759-794
%V 67
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-042-x/
%R 10.4153/CJM-2014-042-x
%F 10_4153_CJM_2014_042_x

Cité par Sources :