Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variations in noncommutative potential theory: finite energy states,
  potentials and multipliers   In this work we undertake an extension of various aspects of the potential
theory of Dirichlet forms from locally compact spaces to noncommutative
C*-algebras with trace. In particular we introduce finite-energy states,
potentials and multipliers of Dirichlet spaces. We prove several results among
which the celebrated Deny's embedding theorem and the Deny's inequality, the
fact that the carre' du champ of bounded potentials are finite-energy
functionals and the relative supply of multipliers.

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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin