5 papers
Twisted crossed products of Banach algebras
Alonso DelfÃn, Carla Farsi, Judith Packer
Given a locally compact group , a nondegenerate Banach algebra with a contractive approximate identity, a twisted action of on , and a family …
-spectral triples and -quantum compact metric spaces
Alonso DelfÃn, Carla Farsi, Judith Packer
For , we generalize the concept of classical spectral triples by extending the framework from Hilbert spaces to -spaces, and from C*-algebras to -opera…
Collapse in Noncommutative Geometry and Spectral Continuity
Carla Farsi, Frederic Latremoliere
If two compact quantum metric spaces are close in the metric sense, then how similar are they, as noncommutative spaces? In the classical realm of Riemannian geometry, informally,…
Twisted Bredon-Illman Cohomology is a Morita Invariant
Carla Farsi, Laura Scull, Jordan Watts
We show that the twisted Bredon-Illman cohomology defined by Mukherjee-Mukherjee applied to compact Lie group action groupoids is Morita-invariant. This cohomology uses coefficient…
Continuity for the spectral propinquity of the Dirac operators associated with an analytic path of Riemannian metrics
Carla Farsi, Frederic Latremoliere
We prove that a polynomial path of Riemannian metrics on a closed spin manifold induces a continuous field in the spectral propinquity of metric spectral triples.