منابع مشابه
Boundaries of Reduced Free Group C-algebras
We prove that the crossed product C∗-algebra C∗ r (Γ, ∂Γ) of a free group Γ with its boundary ∂Γ naturally sits between the reduced group C∗algebra C∗ r Γ and its injective envelope I(C∗ r Γ). In other words, we have natural inclusion C∗ r Γ ⊂ C∗ r (Γ, ∂Γ) ⊂ I(C∗ r Γ) of C∗-algebras.
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولTraces, Ultrapowers and the Pedersen-petersen C*-algebras
Our motivating question was whether all traces on a U-ultrapower of a C*-algebra A, where U is a non-principal ultrafilter on N, are necessarily U-limits of traces on A. We show that this is false so long as A has infinitely many extremal traces, and even exhibit a 22 א0 size family of such traces on the ultrapower. For this to fail even when A has finitely many traces implies that A contains o...
متن کاملOn Simplicity of Reduced C∗-algebras of Groups
A countable group is C∗-simple if its reeduced C∗-algebra is a simple algebra. Since Powers recognised in 1975 that non-abelian free groups are C∗-simple, large classes of groups which appear naturally in geometry have been identified, including non-elementary Gromov hyperbolic groups and lattices in semisimple groups. In this exposition, C∗-simplicity for countable groups is shown to be an ext...
متن کاملTraces on Infinite - Dimensional Brauer Algebras ∗
We describe the central measures for the random walk on graded graphs. Using this description , we obtain the list of all finite traces on three infinite-dimensional algebras: on the Brauer algebra, on the partition algebra, and on the walled Brauer algebra. For the first two algebras, these lists coincide with the list of all finite traces of the infinite symmetric group. For the walled Brauer...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2017
ISSN: 0024-6093
DOI: 10.1112/blms.12101