본문 바로가기
KERD
논문KCI 등재

Nuclearity properties and C*-envelopes of operator system inductive limits

Ajay Kumar|Preeti Luthra
대한수학회 (The Korean Mathematical Society)|2018.09|대한수학회지 (Journal of the KMS)|제55권 제5호|pp. 1045-1061

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

inductive limittensor productsoperator systems$C^*$-envelopesnuclearity
주제분류수학

초록

We investigate the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.

Abstract

We investigate the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.

참고문헌 (18)

  1. W. B. Arveson, "Subalgebras of C*-algebras", Acta Math., 123, pp.141~224 (1969)[DOI]
  2. B. Blackadar, "Operator Algebras, Encyclopaedia of Mathematical Sciences, 122" (2006), Springer-Verlag
  3. N. P. Brown, "C*-algebras and finite-dimensional approximations, Graduate Studies in Mathematics, 88" (2008)
  4. D. Farenick, "Operator systems from discrete groups", Comm. Math. Phys., 329(1), pp.207~238 (2014)[DOI]
  5. V. P. Gupta, "Operator system nuclearity via C*-envelopes", J. Aust. Math. Soc., 101(3), pp.356~375 (2016)[DOI]
  6. M. Hamana, "Injective envelopes of operator systems", Publ. Res. Inst. Math. Sci., 15(3), pp.773~785 (1979)[DOI]
  7. A. S. Kavruk, "Nuclearity related properties in operator systems", J. Operator Theory, 71(1), pp.95~156 (2014)[DOI]
  8. A. S. Kavruk, "Tensor products of operator systems", J. Funct. Anal., 261(2), pp.267~299 (2011)[DOI]
  9. A. S. Kavruk, "Quotients, exactness, and nuclearity in the operator system category", Adv. Math., 235, pp.321~360 (2013)[DOI]
  10. E. Kirchberg, "On subalgebras of the CAR-algebra", J. Funct. Anal., 129(1), pp.35~63 (1995)[DOI]
  11. E. Kirchberg, "C*-algebras generated by operator systems", J. Funct. Anal., 155(2), pp.324~351 (1998)[DOI]
  12. P. Luthra, "Embeddings and C*-envelopes of exact operator systems", Bull. Aust. Math. Soc., 96(2), pp.274~285 (2017)[DOI]
  13. L. Mawhinney, "Inductive limits in the operator system and related categories", arXiv preprint arXiv:1705.04663, ~ (2017)
  14. C. M. Ortiz, "Lovasz theta type norms and operator systems", Linear Algebra Appl., 477, pp.128~147 (2015)[DOI]
  15. G. Pisier, "Introduction to operator space theory, London Mathematical Society Lecture Note Series, 294" (2003), Cambridge University Press
  16. M. Rordam, "Classification of nuclear, simple C*-algebras, in Classification of nuclear C*-algebras, Entropy in operator algebras, Encyclopaedia Math. Sci., 126, Oper. Alg. Non-commut. Geom., 7", pp.1~145 (2002), Springer
  17. M. Rordam, "An introduction to K-theory for C*-algebras, London Mathematical Society Student Texts, 49" (2000), Cambridge University Press
  18. D. Zheng, "The operator system generated by Cuntz isometries", arXiv preprint arXiv:1410.6950, ~ (2014)

관련 논문AI추천

Free Products Of Operator SystemsFlorin Pop대한수학회 · 대한수학회보2022 · 제59권 제3호INDUCTIVE LIMIT IN THE CATEGORY OF C*-TERNARY RINGSAjay Kumar, Arpit Kansal, Vandana Rajpal대한수학회 · 대한수학회보2023 · 제60권 제1호ON NUCLEARITY OF SEMIGROUP CROSSED PRODUCTSQing Meng대한수학회 · 대한수학회보2023 · 제60권 제2호ON THE EXTENDED HAAGERUP TENSOR PRODUCT IN OPERATOR SPACESMasaru Nagisa, Takashi Itoh대한수학회 · 대한수학회지2014 · 제51권 제2호Some properties of bilinear mappings on the tensor product of $C^*$-algebrasAnamika Sarma, Nilakshi Goswami, Vishnu Narayan Mishra강원경기수학회 · 한국수학논문집2019 · 제27권 제4호2-local derivations on C$^{\ast}$-algebrasJiankui Li, Wenbo Huang대한수학회 · 대한수학회보2024 · 제61권 제3호

이 간행물의 다른 논문 (17건)

Upper bounds of second Hankel determinant for universally prestarlike functionsMurugesan Kasthuri, Kaliappan Vijaya, Om Ahuja, GANGADHARAN. MURUGUSUNDARAMOORTHYpp. 1019-1030Weakly $(m,n)$-closed ideals and $(m,n)$-von Neumann regular ringsDavid F. Anderson, Ayman Badawi, Brahim Fahidpp. 1031-1043Estimation of drift parameter and change point via Kalman-Bucy filter for linear systems with signal driven by a fractional Brownian motion and observation driven by a Brownian motionBhagavatula Lakshmi Surya Prakasa Rao, Mahendra Nath Mishrapp. 1063-1073Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection진대호pp. 1075-1089Kazdan-Warner equation on infinite graphsWenfeng Jiang, Huabin Gepp. 1091-1101
원문 보기