A5060790071- Advanced Topics in Algebra
- Advanced Operator Algebra Research
- Homotopy and Cohomology in Algebraic Topology
- Algebraic structures and combinatorial models
- Advanced Banach Space Theory
- Quantum Chromodynamics and Particle Interactions
- Particle physics theoretical and experimental studies
- Noncommutative and Quantum Gravity Theories
- Hydrogen's biological and therapeutic effects
- Advanced Topology and Set Theory
- Nuclear physics research studies
- Dark Matter and Cosmic Phenomena
- Geometric and Algebraic Topology
- Nuclear reactor physics and engineering
- Nuclear Physics and Applications
Victoria University of Wellington
2023
University of Wollongong
2021
The University of Sydney
2018-2020
Lawrence Berkeley National Laboratory
1988-1996
University of California, Berkeley
1988
This biennial review summarizes much of Particle Physics. Using data from previous editions, plus 1900 new measurements 700 papers, we list, evaluate, and average measured properties gauge bosons, leptons, quarks, mesons, baryons. We also summarize searches for hypothetical particles such as Higgs heavy neutrinos, supersymmetric particles. All the particle search limits are listed in Summary Tables. give numerous tables, figures, formulae, reviews topics Standard Model, detectors,...
Abstract We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with partially defined local homeomorphism. Important examples such include self-covering maps, one-sided shifts finite type and, more generally, the boundary-path spaces directed and topological graphs. characterize conjugacy these in terms isomorphisms their associated groupoids C*-algebras. This significantly generalizes recent work Matsumoto second- third-named authors.
We consider Deaconu–Renault groupoids associated to actions of finite-rank free abelian monoids by local homeomorphisms locally compact Hausdorff spaces. study simplicity the twisted C*-algebra such a groupoid determined continuous circle-valued 2 -cocycle. When is not minimal, this never simple, so we focus on minimal groupoids. describe an action quotient interior its isotropy spectrum isotropy. prove that simple if and only minimal. applications crossed products topological-graph...
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We show how to recover a discrete twist over an ample Hausdorff groupoid from pair consisting of algebra and what we call quasi-Cartan subalgebra. identify precisely which twists arise in this way (namely, those that satisfy the local bisection hypothesis), prove assignment twisted Steinberg algebras such our construction are mutually inverse. algebraic pairs correspond effective groupoids principal groupoids. also indicate scope results by identifying large classes for hypothesis holds...
Abstract In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is satisfies the C*-algebraic local bisection hypothesis ; is, every normaliser in reduced twisted C*-algebra supported on an open bisection. The semigroup normalisers plays fundamental role our proof, as does cyclic group C*-algebras.
We consider Deaconu--Renault groupoids associated to actions of finite-rank free abelian monoids by local homeomorphisms locally compact Hausdorff spaces. study simplicity the twisted C*-algebra such a groupoid determined continuous circle-valued 2-cocycle. When is not minimal, this never simple, so we focus on minimal groupoids. describe an action quotient interior its isotropy spectrum isotropy. prove that simple if and only minimal. applications crossed products topological-graph...
We consider a locally compact Hausdorff groupoid $G$ which is graded over discrete group. Then the fibre identity an open and closed subgroupoid $G_e$. show that both full reduced C*-algebras of this embed isometrically into $G$; extends theorem Kaliszewski--Quigg--Raeburn from étale to non-étale setting. As application we are topologically in sense Exel, discuss associated bundles.
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid $G$ being effective. One of these conditions is satisfies the "C*-algebraic local bisection hypothesis"; is, every normaliser in reduced twisted C*-algebra supported on an open bisection. The semigroup normalisers plays fundamental role our proof, as does cyclic group C*-algebras.
We study the natural representation of topological full group an ample Hausdorff groupoid in groupoid's complex Steinberg algebra and its reduced C*-algebras. characterise precisely when this is injective show that it rarely surjective. then restrict our attention to discrete groupoids, which provide unexpected insight into behaviour image not dense C*-algebra unless a group, we example showing may still be even group.
We present an example of a twist over minimal Hausdorff \'etale groupoid such that the restriction to interior isotropy is not topologically trivial; is, restricted induced by continuous 2-cocycle.
We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with partially defined local homeomorphism. Important examples such include self-covering maps, one-sided shifts finite type and, more generally, the boundary-path spaces directed and topological graphs. characterise conjugacy these in terms isomorphisms their associated groupoids C*-algebras. This significantly generalises recent work Matsumoto second- third-named authors.
We consider a locally compact Hausdorff groupoid $G$ which is graded over discrete group. Then the fibre identity an open and closed subgroupoid $G_e$. show that both full reduced C*-algebras of this embed isometrically into $G$; extends theorem Kaliszewski--Quigg--Raeburn from \'etale to non-\'etale setting. As application we are topologically in sense Exel, discuss associated bundles.