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pro vyhledávání: '"Elliott, George A."'
A new proof following a suggestion of Kaplansky to use a result of Dixmier, and in this way avoid unbounded nets of operators, is given of the Kaplansky density theorem.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/2410.03668
Let $\Omega$ be a compact subset of $\mathbb{C}$ and let $A$ be a unital simple, separable $C^*$-algebra with stable rank one, real rank zero and strict comparison. We show that, given a Cu-morphism $\alpha:{\rm Cu}(C(\Omega))\to {\rm Cu}(A)$ with $\
Externí odkaz:
http://arxiv.org/abs/2408.16657
Autor:
Elliott, George A., Niu, Zhuang
Let $X$ be a compact metrizable space, and let $\Delta$ be a closed set of Borel probability measures on $X$. We study the small boundary property of the pair $(X, \Delta)$. In particular, it is shown that $(X, \Delta)$ has the small boundary propert
Externí odkaz:
http://arxiv.org/abs/2406.09748
Let $\Omega$ be a class of ${\rm C^*}$-algebras. In this paper, we study a class of not necessarily unital generalized tracial approximation ${\rm C^*}$-algebras, and the class of simple ${\rm C^*}$-algebras which can be generally tracially approxima
Externí odkaz:
http://arxiv.org/abs/2310.12548
It is shown that certain unital simple C*-algebras constructed by Villadsen are classified by the K0-group together with radius of comparison.
Comment: 42 pages. A calculation of the trace simplex of the Villadsen algebra, which is the Poulsen s
Comment: 42 pages. A calculation of the trace simplex of the Villadsen algebra, which is the Poulsen s
Externí odkaz:
http://arxiv.org/abs/2209.10649
Autor:
Elliott, George A., Sato, Yasuhiko
In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class of C*-algebras which we call rationally approximately finite dimensional (RAF). Using these, we show that for a given proper simplex bundle $(S, \pi)$ with a s
Externí odkaz:
http://arxiv.org/abs/2207.11653
Autor:
Im, Jeffrey, Elliott, George A.
It is shown that the coloured isomorphism class of a unital, simple, $\mathcal{Z}$-stable, separable amenable C$^*$-algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex.
Externí odkaz:
http://arxiv.org/abs/2204.06052
In this paper, we introduce some classes of generalized tracial approximation ${\rm C^*}$-algebras. Consider the class of unital ${\rm C^*}$-algebras which are tracially $\mathcal{Z}$-absorbing (or have tracial nuclear dimension at most $n$, or have
Externí odkaz:
http://arxiv.org/abs/2203.05700
Publikováno v:
In Journal of Functional Analysis 1 October 2024 287(7)
We obtain three results: 1) Every compact simplex bundle with exactly one point in the fiber over 0 is the KMS bundle of a periodic flow on the Jiang-Su algebra. 2) Let A be a separable unital C*-algebra with a unique trace state. Suppose that A tens
Externí odkaz:
http://arxiv.org/abs/2112.13336