대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제13권1호
  • /
  • Pages.61-72
  • /
  • 1998
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

DISCRETE PROOF OF EVEN KAKUTANI EQUIVALENCE VIA ${\alpha}$- AND ,${\beta}$-EQUIVALENCE

  • 발행 : 1998.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

It has been known that if T and S are even Kakutani equivalent, then there exists U such that T and U are $\alpha$-equivalent and S and U are $\beta$-equivalent where $\alpha$ and $\beta$ are irrationally related. In this paper we give a complete discrete proof of this theorem without using R-actions.

키워드

참고문헌

  1. J. of Ergodic Th. and Dyn. Systems v.14 α-equivalence : refinement of even Kakutani equivalence A. delJunco;A. Fieldsteel;A. Rudolph
  2. Restricted orbit equivalence for actions of discrete amenable groups J. Kammayer;D. Rudolph
  3. Mem. Amer. Mach. Soc. v.262 Equivalence of measuter preserving trancformation D. S. Ornstein;B. Weiss;D. Rudolph
  4. J. of Math. Analy. and Appl. v.195 Even Kakutani equivalence via α-and β-equivalences K. K. Park
  5. On α-equivalence K. K. Park
  6. Mem. Amer. Math. Soc. v.323 A restricted orbit equivalence D. Rudolph