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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

DYNAMICAL SYSTEMS AND GROUPOID ALGEBRAS ON HIGHER RANK GRAPHS

DYNAMICAL SYSTEMS AND GROUPOID ALGEBRAS ON HIGHER RANK GRAPHS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.2, pp.199-209
https://doi.org/10.7468/jksmeb.2012.19.2.199
Yi, In-Hyeop (Department of Mathematics Education, Ewha Womans University)

Abstract

For a locally compact higher rank graph <TEX>${\Lambda}$</TEX>, we construct a two-sided path space <TEX>${\Lambda}^{\Delta}$</TEX> with shift homeomorphism <TEX>${\sigma}$</TEX> and its corresponding path groupoid <TEX>${\Gamma}$</TEX>. Then we find equivalent conditions of aperiodicity, cofinality and irreducibility of <TEX>${\Lambda}$</TEX> in (<TEX>${\Lambda}^{\Delta}$</TEX>, <TEX>${\sigma}$</TEX>), <TEX>${\Gamma}$</TEX>, and the groupoid algebra <TEX>$C^*({\Gamma})$</TEX>.

keywords
higher rank graphs, path groupoid, groupoid algebra

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학