Tensor Products And Regularity Properties Of Cuntz Semigroups

Author : Ramon Antoine
Publisher : American Mathematical Soc.
ISBN 13 : 1470427974
Total Pages : 191 pages
Book Rating : 4.79/5 ( download)

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Download or read book Tensor Products and Regularity Properties of Cuntz Semigroups written by Ramon Antoine and published by American Mathematical Soc.. This book was released on 2018-02-23 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cuntz semigroup of a -algebra is an important invariant in the structure and classification theory of -algebras. It captures more information than -theory but is often more delicate to handle. The authors systematically study the lattice and category theoretic aspects of Cuntz semigroups. Given a -algebra , its (concrete) Cuntz semigroup is an object in the category of (abstract) Cuntz semigroups, as introduced by Coward, Elliott and Ivanescu. To clarify the distinction between concrete and abstract Cuntz semigroups, the authors call the latter -semigroups. The authors establish the existence of tensor products in the category and study the basic properties of this construction. They show that is a symmetric, monoidal category and relate with for certain classes of -algebras. As a main tool for their approach the authors introduce the category of pre-completed Cuntz semigroups. They show that is a full, reflective subcategory of . One can then easily deduce properties of from respective properties of , for example the existence of tensor products and inductive limits. The advantage is that constructions in are much easier since the objects are purely algebraic.

Author : Alastair J. Litterick
Publisher : American Mathematical Soc.
ISBN 13 : 1470428377
Total Pages : 156 pages
Book Rating : 4.72/5 ( download)

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Download or read book On Non-Generic Finite Subgroups of Exceptional Algebraic Groups written by Alastair J. Litterick and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Chin-Yu Hsiao
Publisher : American Mathematical Soc.
ISBN 13 : 1470441012
Total Pages : 140 pages
Book Rating : 4.12/5 ( download)

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Download or read book Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds written by Chin-Yu Hsiao and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle L over X. Given q∈{0,1,…,n−1}, let □(q)b,k be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in Lk. For λ≥0, let Π(q)k,≤λ:=E((−∞,λ]), where E denotes the spectral measure of □(q)b,k. In this work, the author proves that Π(q)k,≤k−N0F∗k, FkΠ(q)k,≤k−N0F∗k, N0≥1, admit asymptotic expansions with respect to k on the non-degenerate part of the characteristic manifold of □(q)b,k, where Fk is some kind of microlocal cut-off function. Moreover, we show that FkΠ(q)k,≤0F∗k admits a full asymptotic expansion with respect to k if □(q)b,k has small spectral gap property with respect to Fk and Π(q)k,≤0 is k-negligible away the diagonal with respect to Fk. By using these asymptotics, the authors establish almost Kodaira embedding theorems on CR manifolds and Kodaira embedding theorems on CR manifolds with transversal CR S1 action.

Author : Roelof Bruggeman
Publisher : American Mathematical Soc.
ISBN 13 : 1470428555
Total Pages : 167 pages
Book Rating : 4.56/5 ( download)

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Download or read book Holomorphic Automorphic Forms and Cohomology written by Roelof Bruggeman and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Shouhei Honda
Publisher : American Mathematical Soc.
ISBN 13 : 1470428547
Total Pages : 92 pages
Book Rating : 4.49/5 ( download)

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Download or read book Elliptic PDEs on Compact Ricci Limit Spaces and Applications written by Shouhei Honda and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.

Author : Anne-Laure Dalibard
Publisher : American Mathematical Soc.
ISBN 13 : 1470428350
Total Pages : 111 pages
Book Rating : 4.58/5 ( download)

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Download or read book Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem written by Anne-Laure Dalibard and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Cristian Anghel
Publisher : American Mathematical Soc.
ISBN 13 : 1470428385
Total Pages : 107 pages
Book Rating : 4.89/5 ( download)

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Download or read book Globally Generated Vector Bundles with Small C1 on Projective Spaces written by Cristian Anghel and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sebastiano Carpi
Publisher : American Mathematical Soc.
ISBN 13 : 147042858X
Total Pages : 85 pages
Book Rating : 4.87/5 ( download)

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Download or read book From Vertex Operator Algebras to Conformal Nets and Back written by Sebastiano Carpi and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.

Author : Zhou Gang
Publisher : American Mathematical Soc.
ISBN 13 : 1470428407
Total Pages : 78 pages
Book Rating : 4.02/5 ( download)

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Download or read book Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow written by Zhou Gang and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Matthew Harrison-Trainor
Publisher : American Mathematical Soc.
ISBN 13 : 1470428393
Total Pages : 107 pages
Book Rating : 4.96/5 ( download)

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Download or read book Degree Spectra of Relations on a Cone written by Matthew Harrison-Trainor and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: