On The Classification Of C Algebras Of Real Rank Zero Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs
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On The Classification Of C Algebras Of Real Rank Zero Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs
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Author : Hongbing Su
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
On The Classification Of C Algebras Of Real Rank Zero Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs written by Hongbing Su and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
In this paper a [italic capital]K-theoretic classification is given of the real rank zero [italic capital]C*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with multiple vertices). The special case that the graphs are circles is due to Elliott.
Classification Of Simple C Algebras Inductive Limits Of Matrix Algebras Over Trees
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Author : Liangqing Li
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Classification Of Simple C Algebras Inductive Limits Of Matrix Algebras Over Trees written by Liangqing Li and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]i are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.
Classification Of Direct Limits Of Even Cuntz Circle Algebras
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Author : Huaxin Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Classification Of Direct Limits Of Even Cuntz Circle Algebras written by Huaxin Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
We prove a classification theorem for purely infinite C∗-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.
Quantum And Non Commutative Analysis
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Author : Huzihiro Araki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Quantum And Non Commutative Analysis written by Huzihiro Araki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.
Operator Algebras And Operator Theory
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Author : Liming Ge
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Operator Algebras And Operator Theory written by Liming Ge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.
Operator Algebras Mathematical Physics And Low Dimensional Topology
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Author : Richard Herman
language : en
Publisher: CRC Press
Release Date : 1993-11-15
Operator Algebras Mathematical Physics And Low Dimensional Topology written by Richard Herman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-15 with Mathematics categories.
This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.
Locally Finite Planar Edge Transitive Graphs
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Author : Jack E. Graver
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Locally Finite Planar Edge Transitive Graphs written by Jack E. Graver and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
The nine finite, planar, 3-connected, edge-transitive graphs have been known and studied for many centuries. The infinite, locally finite, planar, 3-connected, edge-transitive graphs can be classified according to the number of their end. The 1-ended graphs in this class were identified by Grünbaum and Shephard; Watkins characterized the 2-ended members. Any remaining graphs in this class must have uncountably may ends. In this work, infinite-ended members of this class are shown to exist. A more detailed classification scheme in terms of the types of Petrie walks in the graphs in this class and the local structure of their automorphism groups is presented.
Hilbert Modules Over Operator Algebras
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Author : Paul S. Muhly
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Hilbert Modules Over Operator Algebras written by Paul S. Muhly and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR
Shortest Paths For Sub Riemannian Metrics On Rank Two Distributions
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Author : Wensheng Liu
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Shortest Paths For Sub Riemannian Metrics On Rank Two Distributions written by Wensheng Liu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
A sub-Riemannian manifold ([italic capitals]M, E, G) consists of a finite-dimensional manifold [italic capital]M, a rank-two bracket generating distribution [italic capital]E on [italic capital]M, and a Riemannian metric [italic capital]G on [italic capital]E. All length-minimizing arcs on ([italic capitals]M, E, G) are either normal extremals or abnormal extremals. Normal extremals are locally optimal, i.e., every sufficiently short piece of such an extremal is a minimizer. The question whether every length-minimizer is a normal extremal was recently settled by R. G. Montgomery, who exhibited a counterexample. The present work proves that regular abnormal extremals are locally optimal, and, in the case that [italic capital]E satisfies a mild additional restriction, the abnormal minimizers are ubiquitous rather than exceptional. All the topics of this research report (historical notes, examples, abnormal extremals, Hamiltonians, nonholonomic distributions, sub-Riemannian distance, the relations between minimality and extremality, regular abnormal extremals, local optimality of regular abnormal extremals, etc.) are presented in a very clear and effective way.
Tilting In Abelian Categories And Quasitilted Algebras
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Author : Dieter Happel
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Tilting In Abelian Categories And Quasitilted Algebras written by Dieter Happel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
We generalize tilting with respect to a tilting module of projective dimension at most one for an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our construction is motivated by the connection between tilting and derived categories. We develop a general theory for such tilting, and are led to a generalization of tilting algebras which we call quasitilted algebras. This class also contains the canonical algebras, and we show that the quasitilted algebras are characterized by having global dimension at most two and each indecomposable module having projective dimension at most one or injective dimension at most one. We also give other characterizations of quasitilted algebras, and give methods for constructing such algebras.