5 citations · 9 across the 7 of their papers we have counts for
9 papers
K-homology and K-theory of pure Braid groups
Sara Azzali, Sarah L. Browne, Maria Paula Gomez Aparicio +2
We produce an explicit description of the K-theory and K-homology of the pure braid group on strands. We describe the Baum--Connes correspondence between the generators of the…
The Baum--Connes conjecture localised at the unit element of a discrete group
Paolo Antonini, Sara Azzali, Georges Skandalis
We construct a Baum--Connes assembly map localised at the unit element of a discrete group . This morphism, called , is defined in -theory with coefficients in $\mathbb…
Spectral -invariants lifted to coverings
Sara Azzali, Sylvie Paycha
The canonical trace and the Wodzicki residue on classical pseudodifferential operators on a closed manifold are characterised by their locality and shown to be preserved under lift…
Bivariant -theory with -coefficients and rho classes of unitary representations
Paolo Antonini, Sara Azzali, Georges Skandalis
We construct equivariant -theory with coefficients in and as suitable inductive limits over -factors. We show that the Kasparov…
Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules
Sara Azzali, Cyril Lévy, Carolina Neira Jiménez +1
We revisit traces of holomorphic families of pseudodifferential operators on a closed manifold in view of geometric applications. We then transpose the corresponding analytic const…
Two-cocycle twists and Atiyah-Patodi-Singer index theory
Sara Azzali, Charlotte Wahl
We construct eta- and rho-invariants for Dirac operators, on the universal covering of a closed manifold, that are invariant under the projective action associated to a 2-cocycle o…
Large time limit and local L^2-index theorems for families
Sara Azzali, Sebastian Goette, Thomas Schick
We compute explicitly, and without any extra regularity assumptions, the large time limit of the fibrewise heat operator for Bismut-Lott type superconnections in the L^2-setting. T…
Spectral flow, index and the signature operator
Sara Azzali, Charlotte Wahl
We relate the spectral flow to the index for paths of selfadjoint Breuer-Fredholm operators affiliated to a semifinite von Neumann algebra, generalizing results of Robbin-Salamon a…
L^2 rho form for normal coverings of fibre bundles
Sara Azzali
We define the secondary invariants L^2- eta and -rho forms for families of generalized Dirac operators on normal coverings of fibre bundles. On the covering family we assume transv…