Locally AH-Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Locally AH-Algebras write by Huaxin Lin. This book was released on 2015-04-09. Locally AH-Algebras available in PDF, EPUB and Kindle. A unital separable -algebra, is said to be locally AH with no dimension growth if there is an integer satisfying the following: for any and any compact subset there is a unital -subalgebra, of with the form , where is a compact metric space with covering dimension no more than and is a projection, such that The authors prove that the class of unital separable simple -algebras which are locally AH with no dimension growth can be classified up to isomorphism by their Elliott invariant. As a consequence unital separable simple -algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.
Homological Questions in Local Algebra
Homological Questions in Local Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homological Questions in Local Algebra write by Jan R. Strooker. This book was released on 1990-09-06. Homological Questions in Local Algebra available in PDF, EPUB and Kindle. This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.
Local Algebra
Local Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Local Algebra write by Jean-Pierre Serre. This book was released on 2012-12-06. Local Algebra available in PDF, EPUB and Kindle. This is an English translation of the now classic "Algbre Locale - Multiplicits" originally published by Springer as LNM 11. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities. Many modifications to the original French text have been made for this English edition, making the text easier to read, without changing its intended informal character.
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classification of Nuclear C*-Algebras. Entropy in Operator Algebras write by M. Rordam. This book was released on 2013-04-18. Classification of Nuclear C*-Algebras. Entropy in Operator Algebras available in PDF, EPUB and Kindle. to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. Afactor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics.
Rings, Groups, and Algebras
Rings, Groups, and Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings, Groups, and Algebras write by X. H. Cao. This book was released on 2020-12-22. Rings, Groups, and Algebras available in PDF, EPUB and Kindle. "Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
