2 citations · 2 across the 3 of their papers we have counts for
15 papers
The Crossed Product by a Partial Endomorphism
R. Exel, D. Royer
Given a closed ideal I in a C*-algebra A, an ideal J (not necessarily closed) in I, a *-homomorphism \al:A --> M(I) and a map L:J --> A with some properties, based on [3] and [9] w…
On embeddings of full amalgamated free product C*-algebras
Scott Armstrong, Ken Dykema, Ruy Exel +1
We examine the question of when the *-homomorphism of full amalgamated free product C*-algebras λ: A *_D B --> A' *_{D'} B', arising from compatible inclusions of C*-algebras A in…
C*-Algebras, Approximately Proper Equivalence Relations, and Thermodynamic Formalism
R. Exel, A. Lopes
We introduce a non-commutative generalization of the notion of (approximately proper) equivalence relation and propose the construction of a "quotient space". We then consider cert…
C*-Algebras of Irreversible Dynamical Systems
R. Exel, A. Vershik
We show that certain C*-algebras which have been studied among others by Arzumanian, Vershik, Deaconu, and Renault in connection to a measure preserving transformation of a measure…
KMS states for generalized gauge actions on Cuntz-Krieger algebras (An application of the Ruelle-Perron-Frobenius Theorem)
Ruy Exel
Given a zero-one matrix A we consider certain one-parameter groups of automorphisms of the Cuntz-Krieger algebra O_A, generalizing the usual gauge group, and depending on a positiv…
Crossed-Products by Finite Index Endomorphisms and KMS states
Ruy Exel
Given a unital C*-algebra A, an injective endomorphism α:A --> A preserving the unit, and a conditional expectation E from A to the range of αwe consider the crossed-product of A b…