Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Austin, Kyle"'
Autor:
Austin, Kyle, Zhang, Jiawen
We extend the symbol calculus and study the limit operator theory for $\sigma$-compact, \'{e}tale and amenable groupoids, in the Hilbert space case. This approach not only unifies various existing results which include the cases of exact groups and d
Externí odkaz:
http://arxiv.org/abs/1903.08442
Autor:
Austin, Kyle, Mitra, Atish
We construct a large class of morphisms, which we call partial morphisms, of groupoids that induce $*$-morphisms of maximal and minimal groupoid $C^*$-algebras. We show that the association of a groupoid to its maximal (minimal) groupoid $C^*$-algebr
Externí odkaz:
http://arxiv.org/abs/1804.00967
Autor:
Austin, Kyle, Georgescu, Magdalena C.
We define what it means for a proper continuous morphism between groupoids to be Haar system preserving, and show that such a morphism induces (via pullback) a *-morphism between the corresponding convolution algebras. We proceed to provide a plethor
Externí odkaz:
http://arxiv.org/abs/1712.05237
Autor:
Austin, Kyle, Virk, Žiga
Publikováno v:
Topology and its Applications 215(2017), 45-57
Let $X$ and $Y$ be proper metric spaces. We show that a coarsely $n$-to-$1$ map $f\colon X\to Y$ induces an $n$-to-$1$ map of Higson coronas. This viewpoint turns out to be successful in showing that the classical dimension raising theorems hold in l
Externí odkaz:
http://arxiv.org/abs/1608.03954
The purpose of this paper is to investigate the duality between large scale and small scale. It is done by creating a connection between C*-algebras and scale structures. In the commutative case we consider C*-subalgebras of $C^b(X)$, the C*-algebra
Externí odkaz:
http://arxiv.org/abs/1602.07301
Autor:
Austin, Kyle
We study the concept of coarse disjointness and large scale $n$-to-$1$ functions. As a byproduct, we obtain an Ostrand-type characterization of asymptotic dimension for coarse structures. It is shown that properties like finite asymptotic dimension,
Externí odkaz:
http://arxiv.org/abs/1508.02996
Autor:
Austin, Kyle, Dydak, Jerzy
The aim of this paper is to prove all well-known metrization theorems using partitions of unity. To accomplish this, we first discuss sufficient and necessary conditions for existence of $\mathcal{U}$-small partitions of unity (partitions of unity su
Externí odkaz:
http://arxiv.org/abs/1311.3679
Autor:
Austin, Kyle, Georgescu, Magdalena C.
Publikováno v:
In Journal of Functional Analysis 1 February 2019 276(3):716-750
Autor:
Austin, Kyle L.
Publikováno v:
Theological Research Exchange Network (TREN).
Thesis (D. Min.)--Westminster Theological Seminary, Philadelphia, 1995.
Includes project contract. Includes bibliographical references (leaves 281-285).
Includes project contract. Includes bibliographical references (leaves 281-285).
Externí odkaz:
http://www.tren.com
Autor:
Austin, Kyle, Virk, Žiga
Publikováno v:
In Topology and its Applications 1 January 2017 215:45-57