Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analogs of Cuntz algebras on $L^p$ spaces   For $d = 2, 3, \ldots$ and $p \in [1, \infty),$ we define a class of
representations $\rho$ of the Leavitt algebra $L_d$ on spaces of the form $L^p
(X, \mu),$ which we call the spatial representations. We prove that for fixed
$d$ and $p,$ the Banach algebra ${{\mathcal{O}}_{d}^{p}}$ obtained as the
closure of the image of $L_d$ under the representation $\rho$ is the same for
all spatial representations $\rho.$ When $p = 2,$ we recover the usual Cuntz
algebra ${\mathcal{O}}_{d}.$ We give a number of equivalent conditions for a
representation to be spatial. We show that for distinct $p_1$ and $p_2$ in $[1,
\infty)$ and arbitrary $d_1$ and $d_2$ in $\{ 2, 3, \ldots \},$ there is no
nonzero continuous homomorphism from ${\mathcal{O}}_{d_1}^{p_1}$ to
${\mathcal{O}}_{d_2}^{p_2}.$

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph