50 citations · 50 across the 2 of their papers we have counts for
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Structure theory and stable rank for C*-algebras of finite higher-rank graphs
David Pask, Adam Sierakowski, Aidan Sims
We study the structure and compute the stable rank of C*-algebras of finite higher-rank graphs. We completely determine the stable rank of the C*-algebra when the k-graph either co…
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…
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…
The ideal structure of reduced crossed products
Adam Sierakowski
Let (A,G) be a C*-dynamical system with G discrete. In this paper we investigate the ideal structure of the reduced crossed product C*-algebra and in particular we determine suffic…