# The isomorphism problem for some universal operator algebras

@article{Davidson2010TheIP, title={The isomorphism problem for some universal operator algebras}, author={Kenneth R. Davidson and Christopher Ramsey and Orr Moshe Shalit}, journal={Advances in Mathematics}, year={2010}, volume={228}, pages={167-218} }

## 68 Citations

### Maximal ideal space techniques in non-selfadjoint operator algebras

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- 2013

The following thesis is divided into two main parts. In the first part we study the problem of characterizing algebras of functions living on analytic varieties. Specifically, we consider the…

### Techniques in operator algebras: classification, dilation and non-commutative boundary theory

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- 2017

In this thesis we bring together several techniques in the theory of non-self-adjoint operator algebras and operator systems. We begin with classification of non-self-adjoint and self-adjoint…

### Operator algebras of monomial ideals in noncommuting variables

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- 2019

### On operator algebras associated with monomial ideals in noncommuting variables

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- 2015

We study operator algebras arising from monomial ideals in the ring of polynomials in noncommuting variables, through the apparatus of subproduct systems and C*-correspondences. We provide a full…

### The classification problem for operator algebraic varieties and their multiplier algebras

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- 2015

We study from the perspective of Borel complexity theory the classification problem for multiplier algebras associated with operator algebraic varieties. These algebras are precisely the multiplier…

### Tensor algebras of subproduct systems and noncommutative function theory

- Mathematics
- 2022

. We revisit tensor algebras of subproduct systems with Hilbert space ﬁbers, re-solving some open questions in the case of inﬁnite dimensional ﬁbers. We characterize when a tensor algebra can be…

### On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces

- MathematicsCanadian Journal of Mathematics
- 2017

Abstract We continue the investigation of the isomorphism problem for multiplier algebras of reproducing kernel Hilbert spaces with the complete Nevanlinna-Pick property. In contrast to previous work…

### Berezin quantization of noncommutative projective varieties

- Mathematics
- 2015

We use operator algebras and operator theory to obtain new result concerning Berezin quantization of compact K\"ahler manifolds. Our main tool is the notion of subproduct systems of…

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