Zobrazeno 1 - 7 of 7 pro vyhledávání: '"Samuel Evington"'
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Uniform Property Γ
Autor: Jorge Castillejos, Stuart White, Samuel Evington, Aaron Tikuisis
Publikováno v: International Mathematics Research Notices. 2022:9864-9908
We further examine the concept of uniform property $\Gamma $ for $C^*$-algebras introduced in our joint work with Winter. In addition to obtaining characterisations in the spirit of Dixmier’s work on central sequences in II$_1$ factors, we establis
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::41fbd74f9d08a3e3377e055d7dda0bfe
https://doi.org/10.1093/imrn/rnaa282
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3
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras
Autor: Jorge Castillejos, Aaron Tikuisis, Samuel Evington, Wilhelm Winter, Stuart White
Publikováno v: Inventiones mathematicae. 224:245-290
We compute the nuclear dimension of separable, simple, unital, nuclear, $${\mathcal {Z}}$$ Z -stable $$\mathrm {C}^*$$ C ∗ -algebras. This makes classification accessible from $${\mathcal {Z}}$$ Z -stability and in particular brings large classes o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b065dec98ff77871135aef17f2b0bd7a
https://doi.org/10.1007/s00222-020-01013-1
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4
Nuclear dimension of simple stably projectionless C∗-algebras
Autor: Samuel Evington, Jorge Castillejos
Publikováno v: Analysis & PDE. 13:2205-2240
We prove that Z-stable, simple, separable, nuclear, non-unital C*-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Z-stability for simple, separable, nuclear, non-elementary C*-algebras.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4bdb4b47c8a55b218b5af0eb1c1aa9f
https://doi.org/10.2140/apde.2020.13.2205
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5
Anomalous symmetries of classifiable C*-algebras
Autor: Sergio Girón Pacheco, Samuel Evington
We study the $H^3$ invariant of a group homomorphism $\phi:G \rightarrow \mathrm{Out}(A)$, where $A$ is a classifiable C$^*$-algebra. We show the existence of an obstruction to possible $H^3$ invariants arising from considering the unitary algebraic
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8259fcd747cd3a40674127e6cf97c89
http://arxiv.org/abs/2105.05587
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6
The Cuntz-Toeplitz algebras have nuclear dimension one
Autor: Marzieh Forough, Samuel Evington, David A. Watt, Joachim Zacharias, Sergio Girón Pacheco, Martin Vrabec, Michael F. Whittaker, Esperanza Garijo, Sarunas Kaubrys, Stuart White, Philip Easo, David Nkansah, Cameron Wilson, Christian Bönicke, Nicholas Seaton
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Comment: Minor changes. Accepted Version. J. Funct. Anal., to appear
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7
Locally trivial W*-bundles
Autor: Ulrich Pennig, Samuel Evington
We prove that a tracially continuous W$^*$-bundle $\mathcal{M}$ over a compact Hausdorff space $X$ with all fibres isomorphic to the hyperfinite II$_1$-factor $\mathcal{R}$ that is locally trivial already has to be globally trivial. The proof uses th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3501bf72c60d488f25da3d6392e7a1a3
https://eprints.gla.ac.uk/124478/1/124478.pdf
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