Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Cuntz Algebras   We study the $C^*$-algebra $\mathcal{T}/\mathcal{K}$ where $\mathcal{T}$ is
the $C^*$-algebra generated by $d$ weighted shifts on the Fock space of
$\mathbb{C}^d$, $\mathcal{F}(\mathbb{C}^d)$, ( where the weights are given by a
sequence $\{Z_k\}$ of matrices $Z_k\in M_{d^k}(\mathbb{C})$) and $\mathcal{K}$
is the algebra of compact operators on the Fock space. If $Z_k=I$ for every
$k$, $\mathcal{T}/\mathcal{K}$ is the Cuntz algebra $\mathcal{O}_d$.
  We show that $\mathcal{T}/\mathcal{K}$ is isomorphic to a Cuntz-Pimsner
algebra and use it to find conditions for the algebra to be simple.
  We present examples of simple and of non simple algebras of this type.
  We also describe the $C^*$-representations of $\mathcal{T}/\mathcal{K}$.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph