## One Citation

Boundary maps and covariant representations

- MathematicsBulletin of the London Mathematical Society
- 2022

We extend applications of Furstenberg boundary theory to the study of C∗-algebras associated to minimal actions ΓyX of discrete groups Γ on locally compact spaces X. We introduce boundary maps on (Γ,…

## References

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Noncommutative boundaries and the ideal structure of reduced crossed products

- Mathematics
- 2019

A C*-dynamical system is said to have the ideal separation property if every ideal in the corresponding crossed product arises from an invariant ideal in the C*-algebra. In this paper we characterize…

Reduced twisted crossed products over C*-simple groups

- Mathematics
- 2016

We consider reduced crossed products of twisted C*-dynamical systems over C*-simple groups. We prove there is a bijective correspondence between maximal ideals of the reduced crossed product and…

Traces, unitary characters and crossed products by Z

- Mathematics
- 1995

We determine the character group of the infinite unitary group of a unital exact C*-algebra in terms of K-theory and traces and obtain a description of the infinite unitary group modulo the closure…

C*-simplicity and the unique trace property for discrete groups

- Mathematics
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A discrete group is said to be C*-simple if its reduced C*-algebra is simple, and is said to have the unique trace property if its reduced C*-algebra has a unique tracial state. A dynamical…

Simple C*-crossed products with a unique trace

- MathematicsErgodic Theory and Dynamical Systems
- 1996

Abstract Let (α, u) denote a cocycle-crossed action of a discrete group G on a unital C*-algebra A, and B = C*r (A, G, α, u) the associated reduced (twisted) C*-crossed product. We discuss the…

STRUCTURE FOR REGULAR INCLUSIONS. I

- Mathematics
- 2012

We study pairs (C,D) of unital C*-algebras where D is a regular abelian C*-subalgebra of C. When D is a MASA in C, we prove the existence and uniqueness of a completely positive unital map E of C…

Characterization of Inner *-Automorphisms of $W^*$-Algebras

- Mathematics
- 1974

For some problems in physics I would like to have a characterization of *-automorphisms of a C*-algebra which can be realized by unitary operators in the enveloping von Neumann algebra. Looking at…

Theory of operator algebras

- Mathematics
- 2002

I Fundamentals of Banach Algebras and C*-Algebras.- 0. Introduction.- 1. Banach Algebras.- 2. Spectrum and Functional Calculus.- 3. Gelfand Representation of Abelian Banach Algebras.- 4. Spectrum and…

C*-Algebras and Finite-Dimensional Approximations

- Mathematics
- 2008

Fundamental facts Basic theory: Nuclear and exact $\textrm{C}^*$-algebras: Definitions, basic facts and examples Tensor products Constructions Exact groups and related topics Amenable traces and…