논문KCI 등재
ON NUCLEARITY OF SEMIGROUP CROSSED PRODUCTS
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In this paper, we study nuclearity of semigroup crossed products for quasi-lattice ordered groups. We show the relationships among nuclearity of the semigroup crossed product, amenability of the quasi-lattice ordered group and nuclearity of the underlying $C^*$-algebra.
Abstract
In this paper, we study nuclearity of semigroup crossed products for quasi-lattice ordered groups. We show the relationships among nuclearity of the semigroup crossed product, amenability of the quasi-lattice ordered group and nuclearity of the underlying $C^*$-algebra.
참고문헌 (16)
- B. Blackadar, "Encyclopaedia of Mathematical Sciences", pp.122~ (2006), Springer-Verlag
- Nathanial Brown, "Graduate Studies in Mathematics", pp.88~ (2008), American Mathematical Society
- John Crisp, "On the Toeplitz algebras of right-angled and finite-type Artin groups", Journal of the Australian Mathematical Society, 72(2), pp.223~246 (2002), Cambridge University Press (CUP)[DOI]
- Deroin, A. Navas, "Groups, orders, and dynamics", arXiv:1408.5805v2, ~
- S. Y. Jang, "Reduced crossed products by semigroups of automorphisms", J. Korean Math. Soc, 36(1), pp.97~107 (1999)
- Marcelo Laca, "From Endomorphisms to Automorphisms and Back: Dilations and Full Corners", Journal of the London Mathematical Society, 61(3), pp.893~904 (2000), Wiley[DOI]
- Marcelo Laca, "Semigroup Crossed Products and the Toeplitz Algebras of Nonabelian Groups", Journal of Functional Analysis, 139(2), pp.415~440 (1996), Elsevier BV[DOI]
- Christopher Lance, "On nuclear C∗-algebras", Journal of Functional Analysis, 12(2), pp.157~176 (1973), Elsevier BV[DOI]
- Xin Li, "Semigroup C⁎-algebras and amenability of semigroups", Journal of Functional Analysis, 262(10), pp.4302~4340 (2012), Elsevier BV[DOI]
- Xin Li, "Nuclearity of semigroup C*-algebras and the connection to amenability", Advances in Mathematics, 244, pp.626~662 (2013), Elsevier BV[DOI]
- ANDREW MCKEE, "Positive Herz–Schur multipliers and approximation properties of crossed products", Mathematical Proceedings of the Cambridge Philosophical Society, 165(3), pp.511~532 (2017), Cambridge University Press (CUP)[DOI]
- G. J. Murphy, "Ordered groups and crossed products of C*-algebras", Pacific J. Math, 148(2), pp.319~349 (1991)
- Gerard J. Murphy, "C*-algebras generated by commuting isometries", Rocky Mountain Journal of Mathematics, 26(1) (1996), Rocky Mountain Mathematics Consortium[DOI]
- A. Nica, "C*-algebras generated by isometries and Wiener-Hopf operators", J. Operator Theory, 27(1), pp.17~52 (1992)
- Alan Paterson, "Amenability", Mathematical Surveys and Monographs (1988), American Mathematical Society[DOI]
- M. Rørdam, "Encyclopaedia Math. Sci., 126, Oper. Alg. Non-commut. Geom., 7" (2002), Springer
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