We give a unified approach to the Isomorphism Conjecture of Farrell and Jones on the algebraic K- and L-theory of integral group rings and to the Baum-Connes Conjecture on the topological K-theory of reducedC-algebras of groups. The approach is through spectra over the orbit category of a discrete group G. We give several points of…
K-Theory Template
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About the K-Theory format
K-Theory is a peer-reviewed journal published by Springer Nature, covering Homotopy and Cohomology in Algebraic Topology, Advanced Topics in Algebra, Algebraic structures and combinatorial models.
| Publisher | Springer Nature |
|---|---|
| Reference style | Superscript numbered (Nature) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. K-Theory 12, 45–58 (2023).
Formats any DOI in K-Theory style. No sign-up. |
| Publishes research in | Homotopy and Cohomology in Algebraic Topology Advanced Topics in Algebra Algebraic structures and combinatorial models Advanced Operator Algebra Research Algebraic Geometry and Number Theory |
| ISSN | 0920-3036 |
| h-index | 64 |
| i10-index | 329 |
| Total citations | 14,922 |
| Top institutions publishing here | Max Planck Society |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in K-Theory
Nous demontrons, en reprenant la construction de Higson and Kasparov, la conjecture de Baum-Connes pour les feuilletages dont le groupo¨ ide d'holonomie est separe et moyennable. Plus generalement, pour tout groupo¨ide localement compact -compact separea vec systde Haar G, agissant proprement et isometriquement sur un champ continu d'espaces affines Euclidi- ens, l'application de Baum-Connes avec…
In which a theory of dimension related to the Jones index and based on the notion of conjugation is developed. An elementary proof of the additivity and multiplicativity of the dimension is given and there is an associated trace. Applications are given to a class of endomorphisms of factors and to the theory of subfactors.…