The universal Boolean inverse semigroup presented by the abstract Cuntz–Krieger relations
نویسندگان
چکیده
This paper is a contribution to the theory of what might be termed $0$-dimensional non-commutative spaces. We prove that associated with each inverse semigroup $S$ Boolean presented by abstract versions Cuntz-Krieger relations. call this Exel completion and show it arises from Exel's tight groupoid under Stone duality.
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولThe universal $mathcal{AIR}$- compactification of a semigroup
In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.
متن کاملFiat categorification of the symmetric inverse semigroup and the semigroup
Starting from the symmetric group Sn , we construct two fiat 2-categories. One of them can be viewed as the fiat “extension” of the natural 2-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect to the natural order). This 2-category provides a fiat categorification for the integral semigroup algebra of the symmetric inverse semigroup. The ot...
متن کاملInverse subsemigroups of the monogenic free inverse semigroup
It is shown that every finitely generated inverse subsemigroup (submonoid) of the monogenic free inverse semigroup (monoid) is finitely presented. As a consequence, the homomorphism and the isomorphism problems for the monogenic free inverse semigroup (monoid) are proved to be decidable.
متن کاملDefinition of the inverse partition semigroup
We construct the inverse partition semigroup IPX , isomorphic to the dual symmetric inverse monoid I∗ X , introduced in [6]. We give a convenient geometric illustration for elements of IPX . We describe all maximal subsemigroups of IPX and find a generating set for IPX when X is finite. We prove that all the automorphisms of IPX are inner. We show how to embed the symmetric inverse semigroup in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2021
ISSN: ['1661-6960', '1661-6952']
DOI: https://doi.org/10.4171/jncg/400