Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space
-
Guillermo Cortiñas
and
Gisela Tartaglia
Abstract
We prove the K-theoretic Farrell–Jones conjecture for groups with the Haagerup
approximation property and coefficient rings and
Funding source: Universidad de Buenos Aires
Award Identifier / Grant number: UBACyT 20020100100386
Funding statement: The first author was partially supported by grant MTM2012-36917-C03-02 from Gobierno de España. Both authors were supported by CONICET, and partially supported by grant UBACyT 20020100100386 from Universidad de Buenos Aires and by grant PIP 11220110100800 from CONICET.
Acknowledgements
We wish to thank our colleague Gabriel Acosta for useful discussions, and Arthur Bartels and the anonymous referee for pointing out mistakes in previous versions of this paper. Part of the research for this article was carried out while the first named author was visiting Sasha Gorokhovsky at the University of Colorado Boulder. He is thankful to UCB and his host for their hospitality and to the latter for useful discussions.
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Articles in the same Issue
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- The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture
- Langlands program for p-adic coefficients and the petits camarades conjecture
- Existence and uniqueness of minimizers of general least gradient problems
- Partial regularity for mass-minimizing currents in Hilbert spaces
- Which abelian tensor categories are geometric?
- On Mordell–Weil groups and congruences between derivatives of twisted Hasse–Weil L-functions
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Articles in the same Issue
- Frontmatter
- The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture
- Langlands program for p-adic coefficients and the petits camarades conjecture
- Existence and uniqueness of minimizers of general least gradient problems
- Partial regularity for mass-minimizing currents in Hilbert spaces
- Which abelian tensor categories are geometric?
- On Mordell–Weil groups and congruences between derivatives of twisted Hasse–Weil L-functions
- Compactness properties for geometric fourth order elliptic equations with application to the Q-curvature flow
- Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space
