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UAB Digital Repository of Documents 14 records found  1 - 10next  jump to record: Search took 0.00 seconds. 
1.
230 p, 1.8 MB The range problem and dimension theory for the Cuntz semigroup / Vilalta Vila, Eduard ; Perera Domènech, Francesc, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En aquesta tesi s'estudien diversos aspectes del semigrup de Cuntz associat a una C*-àlgebra, així com els anomenats semigrups de Cuntz abstractes. En particular, analitzem el problema del rang per la classe d'àlgebres AI separables, obtenint una caracterització completa. [...]
En esta tesis se estudian varios aspectos del semigrupo de Cuntz asociado a una C*-álgebra, así como los llamados semigrupos de Cuntz abstractos. En particular, analizamos el problema del rango para la clase de álgebras AI separables, obteniendo una caracterización completa. [...]
In this thesis various aspects of the Cuntz semigroup associated with a C*-algebra are studied, as well as the so-called abstract Cuntz semigroups. In particular, we analyze the rank problem by the class of separable AI algebras, obtaining a complete characterization. [...]
2022  
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2.
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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3.
13 p, 336.2 KB On nuclearity of the C∗-algebra of an inverse semigroup / Amini, Massoud (Tarbiat Modares University (Tehran, Iran). Department of Mathematics) ; Khoshkam, Mahmood (University of Saskatchewan (Saskatoon, Canadà). Department of Mathematics and Statistics)
We show that the universal groupoid of an inverse semigroup S is topologically (measurewise) amenable if and only if S is hyperfinite and all members of a family of subsemigroups of S indexed by the spectrum of the commutative C∗-algebra C∗(ES) on the idempotents ES of S are amenable. [...]
2020 - 10.5565/PUBLMAT6422005
Publicacions matemàtiques, Vol. 64 Núm. 2 (2020) , p. 499-511 (Articles)  
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4.
51 p, 760.2 KB A bivariant theory for the Cuntz semigroup / Bosa Puigredon, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tornetta, Gabriele (University of Glasgow. School of Mathematics and Statistics (UK)) ; Zacharias, Joachim (University of Glasgow. School of Mathematics and Statistics (UK))
We introduce a bivariant version of the Cuntz semigroup as equivalence classes of order zero maps generalizing the ordinary Cuntz semigroup. The theory has many features formally analogous to KK-theory including a composition product. [...]
2019 - 10.1016/j.jfa.2019.05.002
Journal of Functional Analysis, Vol. 277, Issue 4 (August 2019) , p. 1061-1111  
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5.
62 p, 697.5 KB The linear nature of pseudowords / Almeida, Jorge (Universidade do Porto. Departamento de Matemática) ; Costa, Alfredo (University of Coimbra) ; Costa, José Carlos (Universidade do Minho (Braga, Portugal). Departamento de Matemática e Aplicaçoes) ; Zeitoun, Marc (Université de Bordeaux)
Given a pseudoword over suitable pseudovarieties, we associate to it alabeled linear order determined by the factorizations of the pseudoword. We show that, in the case of the pseudovariety of aperiodic finite semigroups, the pseudoword can be recovered from the labeled linear order.
2019 - 10.5565/PUBLMAT6321901
Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 361-422 (Articles)  
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6.
31 p, 443.9 KB Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2 / Chen, Li (Instituto de Ciencias Matemáticas (Madrid, Espanya))
On a complete non-compact Riemannian manifold M, we prove that a so-called quasi Riesz transform is always Lp bounded for 1 < p ≤ 2. If M satifies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type (1; 1).
2015 - 10.5565/PUBLMAT_59215_03
Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 313-338 (Articles)  
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7.
117 p, 809.4 KB Continuous fields of c-algebras, their cuntz semigroup and the geometry of dimension fuctions / Bosa Puigredon, Joan ; Perera Domènech, Francesc, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Aquesta tesi doctoral tracta sobre C*-àlgebres i els seus invariants de Teoria K. Ens hem centrat principalment en l'estructura d'una classe de C*-àlgebres anomenada camps continus i l'estudi d'un dels seus invariants: el semigrup de Cuntz. [...]
This thesis deals with C*-algebras and their K-theoretical invariants. We have mainly focused on the structure of a class of C*-algebras called continuous fields, and the study of one of its invariants, the Cuntz semigroup. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2013  
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8.
23 p, 419.7 KB Dilations and full corners on fractional skew monoid rings / Pardo, Enrique (Universidad de Cádiz. Departamento de Matemáticas)
In this note we will show that the dilation result obtained for fractional skew monoid rings, in the case of a cancellative left Ore monoid S acting on a unital ring A by corner isomorphisms, holds in full generality. [...]
2014 - 10.5565/PUBLMAT_58114_07
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 155-177  
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9.
20 p, 366.0 KB Conjugacy classes of left ideals of a finite dimensional algebra / Meçel, Arkadiusz (Warsaw University (Polònia). Institute of Mathematics) ; Okniński, Jan (Warsaw University (Polònia). Institute of Mathematics)
Let A be a finite dimensional unital algebra over a field K and let C(A) denote the set of conjugacy classes of left ideals in A. It is shown that C(A) is finite if and only if the number of conjugacy classes of nilpotent left ideals in A is finite. [...]
2013 - 10.5565/PUBLMAT_57213_10
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 477-496  
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10.
19 p, 366.9 KB The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property / Pasnicu, Cornel ; Perera Domènech, Francesc
We define a Riesz type interpolation property for the Cuntz semigroup of a C*-algebra and prove it is satisfied by the Cuntz semigroup of every C*-algebra with the ideal property. Related to this, we obtain two characterizations of the ideal property in terms of the Cuntz semigroup of the C*-algebra. [...]
2013 - 10.5565/PUBLMAT_57213_04
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 359-377  
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