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Semisimplicity and Reduction of p-adic Representations of Topological Monoids

Number Theory 2013-12-25 v1 Functional Analysis Operator Algebras Representation Theory Spectral Theory

Abstract

We give a criterion of the semisimplicity of a p-adic unitary representation of a topological monoid by the reduction of the associated operator algebra.

Keywords

Cite

@article{arxiv.1312.6711,
  title  = {Semisimplicity and Reduction of p-adic Representations of Topological Monoids},
  author = {Tomoki Mihara},
  journal= {arXiv preprint arXiv:1312.6711},
  year   = {2013}
}

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17 pages