A classification theorem for nuclear purely infinite simple -algebras.
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- and -theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by .
Lück, Wolfgang (2005)
Geometry & Topology
Matsumoto -groups associated to certain shift spaces.
Carlsen, Toke Meier, Eilers, Søren (2004)
Documenta Mathematica
On analytic torsion over C*-algebras
Alan Carey, Varghese Mathai, Alexander Mishchenko (1999)
Banach Center Publications
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundles over a compact manifold. The advantage of such a relative torsion is that it is defined without any hypotheses on the flat C*-algebra bundle. In the case where the flat C*-algebra bundle is of determinant class, we relate it easily to the L^2 torsion as defined in [7],[5].
On the universal -algebra generated by a partial isometry.
Kandelaki, T. (1998)
Georgian Mathematical Journal
Pseudo-coefficients très cuspideaux et K-théorie.
J.-P. Labesse (1991)
Mathematische Annalen
Report on K-theory for convenient algebras. II.
Cap, Andreas (1993)
Proceedings of the Winter School "Geometry and Topology"
The Novikov conjecture for linear groups
Erik Guentner, Nigel Higson, Shmuel Weinberger (2005)
Publications Mathématiques de l'IHÉS
Let K be a field. We show that every countable subgroup of GL(n,K) is uniformly embeddable in a Hilbert space. This implies that Novikov’s higher signature conjecture holds for these groups. We also show that every countable subgroup of GL(2,K) admits a proper, affine isometric action on a Hilbert space. This implies that the Baum-Connes conjecture holds for these groups. Finally, we show that every subgroup of GL(n,K) is exact, in the sense of C*-algebra theory.
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