Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: C*-Algebras of algebraic dynamical systems and right LCM semigroups   We introduce algebraic dynamical systems, which consist of an action of a
right LCM semigroup by injective endomorphisms of a group. To each algebraic
dynamical system we associate a C*-algebra and describe it as a semigroup
C*-algebra. As part of our analysis of these C*-algebras we prove results for
right LCM semigroups. More precisely we discuss functoriality of the full
semigroup C*-algebra and compute its K-theory for a large class of semigroups.
We introduce the notion of a Nica-Toeplitz algebra of a product system over a
right LCM semigroup, and show that it provides a useful alternative to study
algebraic dynamical systems.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an