The Experts below are selected from a list of 6816 Experts worldwide ranked by ideXlab platform
Liangqing Li - One of the best experts on this subject based on the ideXlab platform.
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
Guihua Gong - One of the best experts on this subject based on the ideXlab platform.
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
George A. Elliott - One of the best experts on this subject based on the ideXlab platform.
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
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on the classification of simple inductive limit c algebras ii the isomorphism theorem
Inventiones Mathematicae, 2007Co-Authors: George A. Elliott, Guihua Gong, Liangqing LiAbstract:In this article, it is proved that the invariant consisting of the scaled ordered K-group and the space of tracial states, together with the Natural Pairing between them, is a complete invariant for the class of unital simple C *-algebras which can be expressed as the inductive limit of a sequence $$A_1\to A_2\to\cdots\to A_n\to\cdots$$ with \(A_n=\bigoplus_{i=1}^{t_n}P_{n,i}M_{[n,i]}(C(X_{n,i}))P_{n,i}\), where X n,i is a compact metrizable space and P n,i is a projection in M [n,i](C(X n,i )) for each n and i, and the spaces X n,i are of uniformly bounded finite dimension. Note that the C *-algebras in the present class are not assumed to be of real rank zero, as they were in [EG2].
Mehmet Ulema - One of the best experts on this subject based on the ideXlab platform.
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communications and standards a Natural Pairing the president s page
IEEE Communications Magazine, 2014Co-Authors: Sergio Benedetto, Robert S Fish, Alex Gelman, Mehmet UlemaAbstract:As anticipated in my first message in January, the President's Pages in the February through June issues will be devoted to the presentation of the five ComSoc Vice Presidents, who will describe their sector activities and programs for the next two years. The June issue concerns the Vice President for Standards Activities, Robert S. Fish (Rob).
Changlong Zhong - One of the best experts on this subject based on the ideXlab platform.
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Push-pull operators on the formal affine Demazure algebra and its dual
manuscripta mathematica, 2019Co-Authors: Baptiste Calmès, Kirill Zainoulline, Changlong ZhongAbstract:In the present paper we introduce and study the push pull operators on the formal affine Demazure algebra and its dual. As an application we provide a non-degenerate Pairing on the dual of the formal affine Demazure algebra which serves as an algebraic counterpart of the Natural Pairing on the equivariant oriented cohomology of the complete flag variety induced by multiplication and push-forward to a point.
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push pull operators on the formal affine demazure algebra and its dual
arXiv: Algebraic Geometry, 2013Co-Authors: Baptiste Calmès, Kirill Zainoulline, Changlong ZhongAbstract:In the present paper we introduce and study the push pull operators on the formal affine Demazure algebra and its dual. As an application we provide a non-degenerate Pairing on the dual of the formal affine Demazure algebra which serves as an algebraic counterpart of the Natural Pairing on the T-equivariant oriented cohomology of G/B induced by multiplication and push-forward to a point. This paper can be viewed as the next step towards the `algebraization program' for equivariant oriented cohomology theories started in arXiv:0905.1341 and continued in arXiv:1208.4114 and arXiv:1209.1676; the general idea being to match cohomology rings of algebraic varieties and elements of classical interest in them (such as classes of Schubert varieties) with algebraic and combinatorial objects that can be introduced in the spirit of [Demazure, Invariants sym\'etriques entiers des groupes de Weyl et torsion, Invent. Math. 21:287-301, 1973] and [Kostant, Kumar, The nil Hecke ring and cohomology of G/P for a Kac-Moody group G, Advances in Math. 62:187-237, 1986].
