Zobrazeno 1 - 10
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pro vyhledávání: '"N Christopher"'
We construct an uncountable family of pairwise nonisomorphic AH algebras with the same Elliott invariant and same radius of comparison. They can be distinguished by a local radius of comparison function, naturally defined on the positive cone of the
Externí odkaz:
http://arxiv.org/abs/2312.11203
We give a number of examples of exotic actions of locally compact groups on separable nuclear C*-algebras. In particular, we give examples of the following: (1) Minimal effective actions of ${\mathbb{Z}}$ and $F_n$ on unital nonsimple prime AF algebr
Externí odkaz:
http://arxiv.org/abs/2312.03980
Autor:
Phillips, N. Christopher
Let X be a compact Hausdorff space. Then the radius of comparison rc ( C (X)) is related to the covering dimension dim (X) by rc ( C (X)) \geq [ dim (X) - 7 ] / 2. Except for the additive constant, this improves a result of Elliott and Niu, who prove
Externí odkaz:
http://arxiv.org/abs/2309.08786
We show that any finite group admits actions on simple AF algebras with unique trace which have arbitrarily large finite values of Rokhlin dimension with commuting towers. We show similar results for actions of compact Lie groups, with AH algebras wi
Externí odkaz:
http://arxiv.org/abs/2306.14474
Autor:
Huimin Yan, Paola Gonzalo-Encabo, Rebekah L. Wilson, Cami N. Christopher, James D. Cannon, Dong-Woo Kang, John Gardiner, Michelle Perez, Mary K. Norris, Daniel Gundersen, Laura L. Hayman, Rachel A. Freedman, Timothy R. Rebbeck, Ling Shi, Christina M. Dieli-Conwright
Publikováno v:
Frontiers in Oncology, Vol 14 (2024)
BackgroundHigher rates of physical inactivity and comorbid conditions are reported in Hispanic/Latinx and Black cancer patients receiving chemotherapy compared to their White counterparts. Despite the beneficial effect of exercise training for cancer
Externí odkaz:
https://doaj.org/article/91538c0128c94ca2866033d371c70f90
We show that if $A$ is a simple (not necessarily unital) tracially $\mathcal{Z}$-absorbing C*-algebra and $\alpha \colon G \to \mathrm{Aut} (A)$ is an action of a finite group $G$ on $A$ with the weak tracial Rokhlin property, then the crossed produc
Externí odkaz:
http://arxiv.org/abs/2204.03615
We define a "tracial" analog of the Rokhlin property for actions of second countable compact groups on infinite dimensional simple separable unital C*-algebras. We prove that fixed point algebras under such actions (and, in the appropriate cases, cro
Externí odkaz:
http://arxiv.org/abs/2110.12135
We define a notion of tracial $\mathcal{Z}$-absorption for simple not necessarily unital C*-algebras, study it systematically, and prove its permanence properties. This extends the notion defined by Hirshberg and Orovitz for unital C*-algebras. The R
Externí odkaz:
http://arxiv.org/abs/2109.05192
A Banach space X has the SHAI (surjective homomorphisms are injective) property provided that for every Banach space Y, every continuous surjective algebra homomorphism from the bounded linear operators on X onto the bounded linear operators on Y is
Externí odkaz:
http://arxiv.org/abs/2102.03966
We introduce a notion of mean cohomological independence dimension for actions of discrete amenable groups on compact metrizable spaces, as a variant of mean dimension, and use it to obtain lower bounds for the radius of comparison of the associated
Externí odkaz:
http://arxiv.org/abs/2009.13045