Browsing by MSC "54"
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Abstract Bivariant Cuntz Semigroups
[OWP-2017-04] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-13)We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$, there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$. Applied ... -
1244 - C*-Algebras, Dynamics, and Classification
[OWR-2012-52] (2012) - (28 Oct - 03 Nov 2012)Classification is a central theme in mathematics, and a particularly rich one in the theory of operator algebras. Indeed, one of the first major results in the theory is Murray and von Neumann’s type classification of ... -
Cocycle Superrigidity and Group Actions on Stably Finite C*-Algebras
[OWP-2017-01] (Mathematisches Forschungsinstitut Oberwolfach, 2017-01-17)Let $\Lambda $ be a countably infinite property (T) group, and let $D$ be UHF-algebra of infinite type. We prove that there exists a continuum of pairwise non (weakly) cocycle conjugate, strongly outer actions of $\Lambda ... -
Fibonacci-like unimodal inverse limit spaces
[OWP-2010-03] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-9)We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allows us to introduce certain chains that enable a more detailed ... -
0705 - Geometric and Topological Combinatorics
[OWR-2007-4] (2007) - (28 Jan - 03 Feb 2007)The 2007 Oberwolfach meeting “Geometric and Topological Combinatorics” presented a great variety of investigations where topological and algebraic methods are brought into play to solve combinatorial and geometric problems, ... -
2203 - Groups and Dynamics: Topology, Measure, and Borel Structure
[OWR-2022-3] (2022) - (16 Jan - 22 Jan 2022)While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ... -
The ingram conjecture
[OWP-2010-02] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-8)We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1,2] are non-homeomorphic. Based on the structure obtained from the proof, we also ... -
1740 - Spectral Structures and Topological Methods in Mathematical Quasicrystals
[OWR-2017-46] (2017) - (01 Oct - 07 Oct 2017)The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, harmonic analysis and mathematical physics, and developed rapidly after the discovery of real world quasicrystals in 1982 ... -
Weak Expansiveness for Actions of Sofic Groups
[OWP-2014-05] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)In this paper, we shall introduce $h$-expansiveness and asymptotical $h$-expansiveness for actions of sofic groups. By the definitions, each h-expansive action of sofic groups is asymptotically $h$-expansive. We show that ...