Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Purely infinite crossed products by endomorphisms   We study the crossed product $C^*$-algebra associated to injective
endomorphisms, which turns out to be equivalent to study the crossed product by
the dilated autormorphism. We prove that the dilation of the Bernoulli
$p$-shift endomorphism is topologically free. As a consequence, we have a way
to twist any endomorphism of a $\D$-absorbing $C^*$-algebra into one whose
dilated automorphism is essentially free and have the same $K$-theory map than
the original one. This allows us to construct purely infinite crossed products
$C^*$-algebras with diverse ideal structures.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio