Blar i NTNU Open på forfatter "Ortega Esparza, Eduardo"
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Almost finiteness and homology of certain non-free actions
Ortega Esparza, Eduardo; Scarparo, Eduardo (Peer reviewed; Journal article, 2023)We show that Cantor minimal Z⋊Z2\mathbb{Z}\rtimes\mathbb{Z}_2Z⋊Z2-systems and essentially free amenable odometers are almost finite. We also compute the homology groups of Cantor minimal Z⋊Z2\mathbb{Z}\rtimes\mathbb{Z}_ ... -
Cantor Minimal System
Lunde Hauge, Max (Bachelor thesis, 2021)In this thesis, we consider the construction of the Cantor set with its unique mathematical properties, together with different equivalent representations of the set in both metric spaces and general topological spaces. ... -
C∗-uniqueness Results for Groupoids
Ortega Esparza, Eduardo; Austad, Are (Peer reviewed; Journal article, 2020)For a 2nd-countable locally compact Hausdorff étale groupoid G with a continuous 2-cocycle σ we find conditions that guarantee that ℓ1(G,σ) has a unique C∗-norm. -
Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids
Carlsen, Toke Meyer; Eilers, Søren; Ortega Esparza, Eduardo; Restorff, Gunnar (Journal article; Peer reviewed, 2018)We give conditions for when continuous orbit equivalence of one-sided shift spaces implies flow equivalence of the associated two-sided shift spaces. Using groupoid techniques, we prove that this is always the case for ... -
Groupoids and Hermitian Banach *-algebras
Ortega Esparza, Eduardo; Austad, Are (Peer reviewed; Journal article, 2022)We study when the twisted groupoid Banach ∗-algebra L 1 (G, σ) is Hermitian. In particular, we prove that Hermitian groupoids satisfy the weak containment property. Furthermore, we find that for L 1 (G, σ) to be Hermitian ... -
The homology of the groupoid of the self-similar dihedral group
Ortega Esparza, Eduardo; Sanchez, Alvaro (Peer reviewed; Journal article, 2022)We compute the K -theory of the C∗ -algebra associated to the self-similar infinite dihedral group, and the homology of its associated étale groupoid. We see that the rational homology differs from the K -theory, strongly ... -
Katsura–Exel–Pardo groupoids and the AH conjecture
Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Peer reviewed; Journal article, 2021)It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids 𝒢𝐴,𝐵 associated to integral matrices 𝐴 and 𝐵 . This conjecture relates the topological full group of an ample groupoid with the ... -
Matui’s AH Conjecture for Graph Groupoids
Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Peer reviewed; Journal article, 2021)We prove that Matui’s AH conjecture holds for graph groupoids of infinite graphs. This is a conjecture which relates the topological full group of an ample groupoid with the homology of the groupoid. Our main result ... -
Purely infinite crossed products by endomorphisms
Ortega Esparza, Eduardo; Pardo, E (Journal article; Peer reviewed, 2014)We study the crossed product C*-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated automorphism. We prove that the dilation of the Bernoulli p -shift ... -
Rigidity of twisted groupoid Lp-operator algebras
Ortega Esparza, Eduardo; Hetland, Einar V. (Peer reviewed; Journal article, 2023)In this paper we study the isomorphism problem for reduced twisted group and groupoid Lp-operator algebras. For a locally compact group G and a continuous 2-cocycle σ we define the reduced σ-twisted Lp-operator algebra Fp ... -
The homology of the Katsura-Exel-Pardo groupoid
Ortega Esparza, Eduardo (Journal article; Peer reviewed, 2020)We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the K-theory of the C ∗ -algebras in the sense of the (HK) conjecture posted by Matui. Moreover, we show that several ... -
The tight groupoid of the inverse semigroups of left cancellative small categories
Ortega Esparza, Eduardo; Pardo, E (Peer reviewed; Journal article, 2020)We fix a path model for the space of filters of the inverse semigroup associated to a left cancellative small category . Then, we compute its tight groupoid, thus giving a representation of its -algebra as a (full) groupoid ... -
Topological freeness for C*-correspondences
Carlsen, Toke; Kwasniewski, Bartosz K.; Ortega Esparza, Eduardo (Journal article; Peer reviewed, 2019)We study conditions that ensure uniqueness theorems of Cuntz–Krieger type for relative Cuntz–Pimsner algebras associated to a ⁎-correspondence X over a ⁎-algebra A. We give general sufficient conditions phrased in terms ... -
Topological full groups of ample groupoids with applications to graph algebras
Ortega Esparza, Eduardo; Nyland, Petter Kjeverud (Journal article; Peer reviewed, 2019)We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide two general classes ... -
Topological full groups of ample groupoids with applications to graph algebras
Nyland, Petter Kjeverud; Ortega Esparza, Eduardo (Journal article; Peer reviewed, 2019)We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide two general classes ... -
Zappa-Szép products for partial actions of groupoids on left cancellative small categories
Pardo, E; Ortega Esparza, Eduardo (Peer reviewed; Journal article, 2022)We study groupoid actions on left cancellative small categories and their associated Zappa-Sz´ep products. We show that certain left cancellative small categories with nice length functions can be seen as Zappa-Sz´ep ...