Geodesic
Equivariant local cyclic homology and the equivariant Chern-Connes character
Documenta mathematica, Tome 12 (2007), pp. 313-359
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We define and study equivariant analytic and local cyclic homology for smooth actions of totally disconnected groups on bornological algebras. Our approach contains equivariant entire cyclic cohomology in the sense of Klimek, Kondracki and Lesniewski as a special case and provides an equivariant extension of the local cyclic theory developped by Puschnigg. As a main result we construct a multiplicative Chern-Connes character for equivariant KK-theory with values in equivariant local cyclic homology.
DOI : 10.4171/dm/227
Classification : 19D55, 19K35, 19L47, 46A17
Mots-clés : local cyclic homology, Chern-connes character 
@article{10_4171_dm_227,
     author = {Christian Voigt},
     title = {Equivariant local cyclic homology and the equivariant {Chern-Connes} character},
     journal = {Documenta mathematica},
     pages = {313--359},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/227},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/227/}
}
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Christian Voigt. Equivariant local cyclic homology and the equivariant Chern-Connes character. Documenta mathematica, Tome 12 (2007), pp. 313-359. doi: 10.4171/dm/227

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