Add to ORKGIn this paper we show that the universal C*-algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel’s theory of tight representations to this inverse semigroup. We identify the universal C*-algebra as the C*-algebra of the tight groupoid associated to the inverse semigroup
We prove that separable C*-algebras which are completely close in a natural uniform sense have isomo...
To each monoid $P$ that embeds in a group we associate a universal Toeplitz C*-algebra $T_u(P)$ defi...
Let A be a simple, separable C*-algebra of stable rank one. We prove that the Cuntz semigroup of C (...
Abstract. In this paper, we apply the theory of inverse semigroups to the C∗-algebra U [Z] considere...
We show Exel’s tight representation of an inverse semigroup can be described in terms of joins and c...
We realize Kellendonk´s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
In this work we present algebraic conditions on an inverse semigroup S (with zero) which imply that ...
Motivated by a number of important examples of C*-algebras generated by an inverse semigroup of part...
AbstractA C∗-algebra associated to strongly continuous one-parameter semigroups of partial isometrie...
ii The Cuntz semigroup is an isomorphism invariant for C∗-algebras consisting of a semigroup with a ...
An amalgam of inverse semigroups [S,T,U] is full if U contains all of the idempotents of S and T. We...
We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz ...
We show Exel's tight representation of an inverse semigroup can be described in terms of joins and c...
We give a detailed introduction to the theory of Cuntz semigroups for C*-algebras. Beginning with th...
Using the Baum–Connes conjecture with coefficients, we develop a K-theory formula for reduced C*-alg...
We prove that separable C*-algebras which are completely close in a natural uniform sense have isomo...
To each monoid $P$ that embeds in a group we associate a universal Toeplitz C*-algebra $T_u(P)$ defi...
Let A be a simple, separable C*-algebra of stable rank one. We prove that the Cuntz semigroup of C (...
Abstract. In this paper, we apply the theory of inverse semigroups to the C∗-algebra U [Z] considere...
We show Exel’s tight representation of an inverse semigroup can be described in terms of joins and c...
We realize Kellendonk´s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse sem...
In this work we present algebraic conditions on an inverse semigroup S (with zero) which imply that ...
Motivated by a number of important examples of C*-algebras generated by an inverse semigroup of part...
AbstractA C∗-algebra associated to strongly continuous one-parameter semigroups of partial isometrie...
ii The Cuntz semigroup is an isomorphism invariant for C∗-algebras consisting of a semigroup with a ...
An amalgam of inverse semigroups [S,T,U] is full if U contains all of the idempotents of S and T. We...
We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz ...
We show Exel's tight representation of an inverse semigroup can be described in terms of joins and c...
We give a detailed introduction to the theory of Cuntz semigroups for C*-algebras. Beginning with th...
Using the Baum–Connes conjecture with coefficients, we develop a K-theory formula for reduced C*-alg...
We prove that separable C*-algebras which are completely close in a natural uniform sense have isomo...
To each monoid $P$ that embeds in a group we associate a universal Toeplitz C*-algebra $T_u(P)$ defi...
Let A be a simple, separable C*-algebra of stable rank one. We prove that the Cuntz semigroup of C (...