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Results overview: Found 15 records in 1.35 seconds.
Research literature, 15 records found
Research literature 15 records found  1 - 10next  jump to record:
1.
160 p, 888.8 KB A new invariant for C*-algebras / Cantier, Laurent ; Antoine Riolobos, Ramon, dir. ; Perera Domènech, Francesc, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
L'objectiu principal d'aquesta tesi és l'estudi d'un nou invariant per a C*-àlgebres, anomenat el semigrup Cu1. La classificació de C*-àlgebres ha guanyat molt terreny durant les últimes dècades. [...]
El objetivo principal de esta tesis es el estudio de un nuevo invariante para C*-álgebras, llamado el semigrupo Cu1. La clasificación de C*-álgebras ha ganado mucho terreno durante las últimas décadas. [...]
The main objective of this thesis is the study of a new invariant for C*-algebras, called the Cu1 semigroup. The classification of C*-algebras has gained a lot of ground during the last decades. For that matter, two main objects stand out: the original Elliott invariant, consisting of K-Theoretical data, together with traces, and a pairing between them, and the Cuntz semigroup. [...]
2020  
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2.
18 p, 296.7 KB The generator problem for Z-stable C*-algebras / Thiel, Hannes ; Winter, Wilhelm ; Centre de Recerca Matemàtica
The generator problem was posed by Kadison in 1967, and it remains open until today. We provide a solution for the class of C*-algebras absorbing the Jiang-Su algebra Z tensorially. More precisely, we show that every unital, separable, Z-stable C*-algebra A is singly generated, which means that there exists an element x є A that is not contained in any proper sub-C*- algebra of A. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1079)  
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3.
17 p, 249.0 KB On spectral approximation, Folner sequences and crossed products / Lledó, Fernando, 1967- ; Centre de Recerca Matemàtica
In this article we review first some of the possibilities in which the notions of Fo lner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Fo lner sequence for the crossed product of a concrete C* -algebra and a discrete amenable group. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1059)  
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4.
21 p, 305.0 KB Folner sequences and finite operators / Yakubovich, Dmitry V. ; Lledó, Fernando, 1967- ; Centre de Recerca Matemàtica
This article analyzes Folner sequences of projections for bounded linear operators and their relationship to the class of finite operators introduced by Williams in the 70ies. We prove that each essentially hyponormal operator has a proper Folner sequence (i. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1118)  
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5.
38 p, 488.4 KB Dynamical systems of type (m,n) and their C*-algebras / Ara, Pere, 1959- (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Exel, Ruy ; Katsura, Takeshi ; Centre de Recerca Matemàtica
Given positive integers n and m, we consider dynamical systems in which n copies of a topological space is homeomorphic to m copies of that same space. The universal such system is shown to arise naturally from the study of a C*-algebra we denote by Om;n, which in turn is obtained as a quotient of the well known Leavitt C*-algebra Lm;n, a process meant to transform the generating set of partial isometries of Lm;n into a tame set. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1050)  
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6.
12 p, 218.8 KB Decomposable approximations of nuclear C*-algebras / Hirshberg, I. ; White, Stuart ; Kirchberg, E. ; Centre de Recerca Matemàtica
We show that nuclear C*-algebras have a re ned version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex combinations of order zero maps. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1028)  
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7.
15 p, 248.3 KB C*-algebras nearly contained in type I algebras / Christensen, Erik ; Sinclair, Allan M. ; Smith, Roger R. ; White, Stuart ; Centre de Recerca Matemàtica
"Vegeu el resum a l'inici del document del fitxer adjunt".
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1036)  
Detailed record - Creative Commons
8.
12 p, 200.4 KB Generalized inductive limits of quasidiagonal C*-algebras / Brown, Nathanial P. ; Centre de Recerca Matemàtica
If A is a unital quasidiagonal C*-algebra, we construct a generalized inductive limit BA which is simple, unital and inherits many structural properties from A. If A is the unitization of a non-simple purely infinite algebra (e. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1019)  
Detailed record - Creative Commons
9.
130 p, 6.8 MB Fórmulas integrales de curvatura y foliaciones de Lie / Gallego Gómez, Eduardo ; Reventós, Agustí, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Bellaterra : Universitat Autònoma de Barcelona, 2009  
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10.
26 p, 269.6 KB The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-Algebras / Brown, Nathanial P. ; Toms, Andrew S. ; Perera Domènech, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Centre de Recerca Matemàtica
We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C¤-algebras. In particular, our results apply to the largest class of simple C¤-algebras for which K-theoretic classification can be hoped for. [...]
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 711)  
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Research literature : 15 records found   1 - 10next  jump to record:
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