Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Blackadar, Bruce"'
Autor:
Blackadar, Bruce, Rørdam, Mikael
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.
Comment: 12 pages. Two extra references added, and last section org
Comment: 12 pages. Two extra references added, and last section org
Externí odkaz:
http://arxiv.org/abs/2409.09644
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 what can and cannot be said about Hilbert spaces and operators on them in
Externí odkaz:
http://arxiv.org/abs/2304.09602
Autor:
Blackadar, Bruce
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 defined by a function.
Comment: 3 pages. Written 1/24/17 but not posted
Comment: 3 pages. Written 1/24/17 but not posted
Externí odkaz:
http://arxiv.org/abs/1802.04689
Autor:
Austin, Tim, Blackadar, Bruce, Grünbaum, F. Alberto, Howe, Roger, Rosenberg, Jonathan, Schochet, Claude, Thaler, Alvin
Publikováno v:
Notices of the American Mathematical Society; Oct2024, Vol. 71 Issue 9, p1186-1195, 10p
Autor:
Blackadar, Bruce
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 be easily deduced from each other via the generalized version.
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Externí odkaz:
http://arxiv.org/abs/1509.06025
Autor:
Blackadar, Bruce
We describe a family of open subsets $M_A$ of the Moore plane, one for each subset $A$ of $\mathbb{R}$. Each of these subsets is a separable contractible (Hausdorff) 2-manifold, which is nonmetrizable if $A$ is uncountable. The collection $\{M_A:A\su
Externí odkaz:
http://arxiv.org/abs/1505.01441
Autor:
Blackadar, Bruce
We examine splitting of the quotient map from the full free product $A*B$, or the unital free product $A*_{\mathbb C}B$, to the (maximal) tensor product $A\otimes B$, for unital C*-algebras $A$ and $B$. Such a splitting is very rare, but we show ther
Externí odkaz:
http://arxiv.org/abs/1501.03183
Autor:
Blackadar, Bruce
We examine conditions on a (compact metrizable) space $X$ such that for any space $Y$ and closed subspace $Z$, the set of continuous functions from $Z$ to $X$ which extend to $Y$ is either open or closed in the set of continuous functions from $Z$ to
Externí odkaz:
http://arxiv.org/abs/1207.6147
Autor:
Blackadar, Bruce
We prove a complete analog of the Borsuk Homotopy Extension Theorem for arbitrary semiprojective C*-algebras. We also obtain some other results about semiprojective C*-algebras: a partial lifting theorem with specified quotient, a lifting result for
Externí odkaz:
http://arxiv.org/abs/1207.1909