5 citations · 10 across the 9 of their papers we have counts for
10 papers
The Space of Tracial States on a C-Algebra
Bruce Blackadar, Mikael Rørdam
We give a simple and elementary proof that the tracial state space of a unital C-algebra is a Choquet simplex, using the center-valued trace on a finite von Neumann algebra.
Hilbert Spaces Without Countable AC
Bruce Blackadar, Ilijas Farah, Asaf Karagila
This article examines Hilbert spaces constructed from sets whose existence is incompatible with the Countable Axiom of Choice (CC). Our point of view is twofold: (1) We examine wha…
A bump in the road in elementary topology
Bruce Blackadar
We observe a subtle and apparently generally unnoticed difficulty with the definition of the relative topology on a subset of a topological space, and with the weak topology define…
A General Implicit/Inverse Function Theorem
Bruce Blackadar
The Implicit and Inverse Function Theorems are special cases of a general Implicit/Inverse Function Theorem which can be easily derived from either theorem. The theorems can thus b…
A Family of Mutually Nonhomeomorphic Separable Contractible 2-Manifolds of Cardinality
Bruce Blackadar
We describe a family of open subsets of the Moore plane, one for each subset of . Each of these subsets is a separable contractible (Hausdorff) 2-manifold, wh…
Lifting Commutation Relations in Cuntz Algebras
Bruce Blackadar
We examine splitting of the quotient map from the full free product , or the unital free product , to the (maximal) tensor product , for unital C*…