## 10 Citations

### Finite-dimensional approximations and semigroup coactions for operator algebras

- Mathematics
- 2021

The residual finite-dimensionality of a C-algebra is known to be encoded in a topological property of its space of representations, stating that finite-dimensional representations should be dense…

### Finite dimensional approximations in operator algebras

- Mathematics
- 2022

. A non-self-adjoint operator algebra is said to be residually ﬁnite dimensional (RFD) if it embeds into a product of matrix algebras. We characterize RFD operator algebras in terms of their matrix…

### Finite Dimensionality in the Non-commutative Choquet Boundary: Peaking Phenomena and C*-Liminality

- MathematicsInternational Mathematics Research Notices
- 2021

We explore the finite-dimensional part of the non-commutative Choquet boundary of an operator algebra. In other words, we seek finite-dimensional boundary representations. Such representations may…

### Finite-dimensionality in the non-commutative Choquet boundary: peaking phenomena and $\mathrm{C}^*$-liminality.

- Mathematics
- 2020

We explore the finite-dimensional part of the non-commutative Choquet boundary of an operator algebra. In other words, we seek finite-dimensional boundary representations. Such representations may…

### Multiplier tests and subhomogeneity of multiplier algebras

- MathematicsDocumenta Mathematica
- 2022

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms of positivity of $n \times n$ matrices analogous to the classical Pick matrix. We study for which reproducing kernel…

### Some notes on the universal C*-algebra of a contraction

- Mathematics
- 2018

We say that a contractive Hilbert space operator is universal if there is a natural surjection from its generated C*-algebra to the C*-algebra generated by any other contraction. A universal…

### Maximal C⁎-covers and residual finite-dimensionality

- MathematicsJournal of Mathematical Analysis and Applications
- 2022

### Identification of maximal $C^*$-covers of some operator algebras

- Mathematics
- 2022

In 1999, Blecher [2] introduced the concept of the maximal C-cover of an operator algebra. This algebra encodes the completely contractive representation theory of an operator algebra. In particular,…

### Quasitriangular operator algebras

- Mathematics
- 2022

. We give characterizations of quasitriangular operator algebras along the line of Voiculescu’s characterization of quasidiagonal C ∗ -algebras. their representations. Note that in the selfadjoint…

### C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems

- MathematicsAdvances in Mathematics
- 2022

## References

SHOWING 1-10 OF 53 REFERENCES

### Residual finite dimensionality and representations of amenable operator algebras

- MathematicsJournal of Mathematical Analysis and Applications
- 2019

### Operator Spaces and Residually Finite-Dimensional C*-Algebras

- Mathematics
- 1994

Abstract For every operator space X the C *-algebra containing it in a universal way is residually finite-dimensional (that is, has a separating family of finite-dimensional representations). In…

### Modules over Operator Algebras, and the Maximal C*-Dilation☆☆☆

- Mathematics
- 1999

Abstract We continue our study of the general theory of possibly nonselfadjoint algebras of operators on a Hilbert space, and modules over such algebras, developing a little more technology to…

### Crossed Products of Operator Algebras

- MathematicsMemoirs of the American Mathematical Society
- 2019

We study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. We develop an abstract theory that allows for generalizations of many of the…

### Elements of $C^{\ast }$ -algebras Attaining their Norm in a Finite-dimensional Representation

- MathematicsCanadian Journal of Mathematics
- 2019

Abstract We characterize the class of RFD $C^{\ast }$ -algebras as those containing a dense subset of elements that attain their norm under a finite-dimensional representation. We show further that…

### Noncommutative semialgebraic sets and associated lifting problems

- Mathematics
- 2009

We solve a class of lifting problems involving approximate polynomial relations (soft polynomial relations). Various associated C*-algebras are therefore projective. The technical lemma we need is a…

### On residually finite-dimensional *-algebras

- Mathematics
- 1995

Exel and Loring have listed several conditions that are equivalent to the residual finite-dimensionality of a C*-algebra. We review and extend this list. A C*-algebra is said to be residually…

### BOUNDARY REPRESENTATIONS FOR FAMILIES OF REPRESENTATIONS OF OPERATOR ALGEBRAS AND SPACES

- Mathematics
- 2005

In analogy with the peak points of the Shilov boundary of a uni- form algebra, Arveson defined the notion of boundary representations among the completely contractive representations of a unital…