50 citations · 50 across the 2 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.OA2017
On the geometry of idempotents in von Neumann algebras
Thierry Giordano, Adam Sierakowski
We consider the general linear group as an invariant of von Neumann factors. We prove that up to complement, a set consisting of all idempotents generating the same right ideal adm…
math.OA2017
Unbounded quasitraces, stable finiteness and pure infiniteness
David Pask, Adam Sierakowski, Aidan Sims
We prove that if A is a σ-unital exact C*-algebra of real rank zero, then every state on K_0(A) is induced by a 2-quasitrace on A. This yields a generalisation of Rainone's work on…