Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Eilers, Soren"'
In this paper, we construct a class of ASH algebras of real rank zero and stable rank one which is not K-pure. Then we show the following: (i) There exists a real rank zero inductive limit of 1-dimensional noncommutative CW complexes which is not an
Externí odkaz:
http://arxiv.org/abs/2411.02173
Autor:
Eilers, Søren, Zegers, Sophie Emma
The quantum lens spaces form a natural and well-studied class of noncommutative spaces which has been partially classified using algebraic invariants drawing on the developed classification theory of graph $C^*$-algebras. We introduce the problem of
Externí odkaz:
http://arxiv.org/abs/2408.17386
Publikováno v:
Ergodic Theory Dynam. Systems 43 (2023), 2516--2537
We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include self-covering maps, one-sided shifts of finite type and, more generally
Externí odkaz:
http://arxiv.org/abs/2105.00479
Publikováno v:
Analysis & PDE 17 (2024) 345-377
Motivated by Williams' problem of measuring novel differences between shift equivalence (SE) and strong shift equivalence (SSE), we introduce three equivalence relations that provide new ways to obstruct SSE while merely assuming SE. Our shift equiva
Externí odkaz:
http://arxiv.org/abs/2011.10320
Let $E$ be a countable directed graph that is amplified in the sense that whenever there is an edge from $v$ to $w$, there are infinitely many edges from $v$ to $w$. We show that $E$ can be recovered from $C^*(E)$ together with its canonical gauge-ac
Externí odkaz:
http://arxiv.org/abs/2007.00853
Autor:
Eilers, Søren
Publikováno v:
Fields Institute Communications Series 13, "Operator Algebras and their Applications", 81-90, American Mathematical Society, 1997
The class of AD algebras of real rank zero is classified by an exact sequence of K-groups with coefficients, equipped with certain order structures. Such a sequence is always split, and one may ask why, then, the middle group is relevant for classifi
Externí odkaz:
http://arxiv.org/abs/2005.10475
We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph C*-algebras as the smallest equivalence relation generated by five types of moves. The graphs studied have finitely many vertices and finitely
Externí odkaz:
http://arxiv.org/abs/1910.11514
Autor:
Eilers, Søren, Ruiz, Efren
We formalize eight different notions of isomorphism among (unital) graph C*-algebras, and initiate the study of which of these notions may be described geometrically as generated by moves. We propose a list of seven types of moves that we conjecture
Externí odkaz:
http://arxiv.org/abs/1908.03714
Publikováno v:
Compositio Math. 156 (2020) 2510-2535
Since their inception in the 30's by von Neumann, operator algebras have been used in shedding light in many mathematical theories. Classification results for self-adjoint and non-self-adjoint operator algebras manifest this approach, but a clear con
Externí odkaz:
http://arxiv.org/abs/1907.01366
Publikováno v:
Ann. K-Th. 5 (2020) 295-315
We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra.
Comment: Accepted version, to appear in Annals of K-theory
Comment: Accepted version, to appear in Annals of K-theory
Externí odkaz:
http://arxiv.org/abs/1810.12147