AbstractIt has recently been shown how to construct an inverse semigroup from any tiling: a construction having applications in K-theoretical gap-labelling. In this paper, we provide the categorical basis for this construction in terms of an appropriate group acting partially and without fixed points on an inverse category associated with the tiling
Semigroupoids are generalizations of semigroups and of small categories. In general, the quotient of...
AbstractWe show how the correspondence between inverse semigroups and inductive groupoids (a class o...
We realize Kellendonk´s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
It has recently been shown how to construct an inverse semigroup from any tiling: a construction hav...
AbstractWe study the universal groups of inverse semigroups associated with point sets and with tili...
We introduce the notion of path extensions of tiling semigroups and investigate their properties. We...
AbstractAt first, we determine the Green's relations of a tiling semigroup. Then we analyze some con...
AbstractThe theory in this paper was motivated by an example of an inverse semigroup important in Gi...
A one-dimensional tiling is a bi-infinite string on a finite alphabet, and its tiling semigroup is a...
There has been much work done recently on the action of semigroups on sets with some important appli...
We realize Kellendonk's C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
This thesis originated in an effort to find an efficient algorithm for the construction of finite in...
In this article we will study semigroupoids, and more specifically inverse semigroupoids. These are ...
Semigroupoids are generalizations of semigroups and of small categories. In general, the quotient of...
AbstractWe show how the correspondence between inverse semigroups and inductive groupoids (a class o...
We realize Kellendonk´s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
It has recently been shown how to construct an inverse semigroup from any tiling: a construction hav...
AbstractWe study the universal groups of inverse semigroups associated with point sets and with tili...
We introduce the notion of path extensions of tiling semigroups and investigate their properties. We...
AbstractAt first, we determine the Green's relations of a tiling semigroup. Then we analyze some con...
AbstractThe theory in this paper was motivated by an example of an inverse semigroup important in Gi...
A one-dimensional tiling is a bi-infinite string on a finite alphabet, and its tiling semigroup is a...
There has been much work done recently on the action of semigroups on sets with some important appli...
We realize Kellendonk's C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
This thesis originated in an effort to find an efficient algorithm for the construction of finite in...
In this article we will study semigroupoids, and more specifically inverse semigroupoids. These are ...
Semigroupoids are generalizations of semigroups and of small categories. In general, the quotient of...
AbstractWe show how the correspondence between inverse semigroups and inductive groupoids (a class o...
We realize Kellendonk´s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...