대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권1호
  • /
  • Pages.59-69
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

REFINEMENT PERMUTATIONS OF PRIME POWER ORDER

  • 발행 : 2000.01.01
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초록

For a permutation ${\mu}$ in S$\sub$b/, the limit algebra A${\mu}$ of the stationary system given by ${\mu}$ is isomorphic to a refinement limit algebra if and only if its exponent set E(${\mu}$) is the set {0}. In the current paper, we prove a sufficient condition under which E(${\mu}$)={0} when the order of ${\mu}$ is a power of p, where p is a prime number dividing b.

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참고문헌

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  5. Korean J. Math. Sci. v.3 Exponent tables and limit algebras of stationary systems
  6. Korean J. Math. Sci. v.5 Permutations of prime square order with trivial exponent sets
  7. Proc. London Math. Soc. v.61 The Classification of tensor products of triangular operator algebras
  8. The Classification of triangular subalgebras of A F algebras v.22 S. Power
  9. J. Reine Angew. Math. v.421 Non-self-adjoint operator algebras and inverse systems of simplicial complexes
  10. Pitman Research Notes Limit Algebras: An Introduction to Subalgebars of C*-algebras