Uniformly continuous functions on non-Hausdorff groupoids
Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0
Abstract
The purpose of this paper is to study the notion of uniform continuity introduced in [M. Buneci, Haar systems and homomorphism on groupoids, Operator algebras and mathematical physics, 35-49, Theta, Bucharest, 2003]. For a locally compact (not necessarily Hausdorff) groupoid endowed with pre-Haar systems, we prove that the space of bounded compactly supported functions which are left and right uniformly continuous on fibres can be made into a *-algebra and endowed with a (reduced) C<SUP>*</SUP>-norm. The advantage of working with uniformly continuous on fibres functions is the fact that even if the groupoid does not admit a continuous Haar system, various C<SUP>*</SUP>-algebras can be associated with it.
Authors and Affiliations
Mădălina Buneci
Keywords
Related Articles
- EP ID EP139786
- DOI -
- Views 106
- Downloads 0
Identifiability of the multivariate normal by the maximum and the minimum
In this paper, we have discussed theoretical problems in statistics on identification of parameters of a non-singular multi-variate normal when only either the distribution of the maximum or the distribution of the minim...
Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory
In this note, we study the possibility of non-simultaneous blow-up for positive solutions to the following system:<BR>u<sub>t</sub> - ∆u = u<sup>q<sub>1</sub></sup>∫<sub>0&...
Elliptic functions and integrals
This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as t...
Fixed point theorems for generalized weakly contractive mappings
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family...
Higher *-derivations between unital C*-algebras
Let A, B be two unital C<SUP>*</SUP>-algebras. We prove that every sequence of mappings from A into B, H = {h<SUB>0</SUB>,h<SUB>1</SUB>, ..., h<SUB>m</SUB>, ...}, which sat...