7 papers
Twisted crossed products of Banach algebras
Alonso Delfín, 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 o…
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.
Simplicity of -algebras of non-Hausdorff -multispinal groupoids
C. Farsi, N. S. Larsen, J. Packer +1
We study simplicity of -algebras arising from self-similar groups of -multispinal type, a generalization of the Grigorchuk case whose simplicity was first proved…
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,…
Spectral Triples on noncommutative solenoids from the standard spectral triples on quantum tori
Carla Farsi, Frederic Latremoliere, Judith Packer
We address the natural question: as noncommutative solenoids are inductive limits of quantum tori, do the standard spectral triples on quantum tori converge to some spectral triple…
Euler characteristics of linear symplectic quotients and -spaces
Carla Farsi, Hannah Mobley, Christopher Seaton
We give explicit computations of the -Euler characteristic of several families of orbit space definable translation groupoids. These include the translation groupoids associated…