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Free Products Of Operator Systems

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In this paper we introduce the notion of universal free product for operator systems and operator spaces, and prove extension results for the operator system lifting property (OSLP) and operator system local lifting property (OSLLP) to the universal free product.

Abstract

In this paper we introduce the notion of universal free product for operator systems and operator spaces, and prove extension results for the operator system lifting property (OSLP) and operator system local lifting property (OSLLP) to the universal free product.

참고문헌 (13)

  1. D. Avitzour, "Free products of C∗-algebras", Trans. Amer. Math. Soc, 271(2), pp.423~435 (1982)[DOI]
  2. F. Boca, "Free products of completely positive maps and spectral sets", J. Funct. Anal, 97(2), pp.251~263 (1991)[DOI]
  3. F. Boca, "Completely positive maps on amalgamated product C∗-algebras", Math. Scand, 72(2), pp.212~222 (1993)[DOI]
  4. F. Boca, "Operator theory, operator algebras and related topics", pp.51~63 (1997), Theta Found
  5. A. Kavruk, "Tensor products of operator systems", J. Funct. Anal, 261(2), pp.267~299 (2011)[DOI]
  6. A. S. Kavruk, "Quotients, exactness, and nuclearity in the operator system category", Adv. Math, 235, pp.321~360 (2013)[DOI]
  7. Eberhard Kirchberg, "On non-semisplit extensions, tensor products and exactness of groupC *-algebras", Inventiones Mathematicae, 112(1), pp.449~489 (1993), Springer Science and Business Media LLC[DOI]
  8. Eberhard Kirchberg, "C*-Algebras Generated by Operator Systems", Journal of Functional Analysis, 155(2), pp.324~351 (1998), Elsevier BV[DOI]
  9. N. Ozawa, "On the lifting property for universal C∗-algebras of operator spaces", J. Operator Theory, 46(3), pp.579~591 (2001)
  10. V. Paulsen, "Completely bounded maps and operator algebras, Cambridge Studies in Advanced Mathematics" (2002), Cambridge University Press
  11. G. Pisier, "A simple proof of a theorem of Kirchberg and related results on C∗-norms", J. Operator Theory, 35(2), pp.317~335 (1996)
  12. F. Pop, "On the double commutant expectation property for operator systems", Oper. Matrices, 9(1), pp.165~179 (2015)[DOI]
  13. "Notes on a theorem of Ozawa"[URL]

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