1# Library to Find Best eBook for Read
Author : Huaxin Lin
Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 942/5 ( reviews)
Book Synopsis Approximate Homotopy of Homomorphisms from $C(X)$ into a Simple $C^*$-Algebra by : Huaxin Lin
Download or read book Approximate Homotopy of Homomorphisms from $C(X)$ into a Simple $C^*$-Algebra written by Huaxin Lin. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 963 (second of 5 numbers)."
Author : Huaxin Lin
Release : 2017-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 903/5 ( reviews)
Book Synopsis From the Basic Homotopy Lemma to the Classification of C*-algebras by : Huaxin Lin
Download or read book From the Basic Homotopy Lemma to the Classification of C*-algebras written by Huaxin Lin. This book was released on 2017-08-11. Available in PDF, EPUB and Kindle. Book excerpt: This book examines some recent developments in the theory of -algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. The book presents an outline of the background as well as some recent results of the classification of simple amenable -algebras, otherwise known as the Elliott program. This includes some stable uniqueness theorems and a revisiting of Bott maps via stable homotopy. Furthermore, -theory related rotation maps are introduced. The book is based on lecture notes from the CBMS lecture sequence at the University of Wyoming in the summer of 2015.
Author : Paul Arne Østvær
Release : 2010-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 65X/5 ( reviews)
Book Synopsis Homotopy Theory of C*-Algebras by : Paul Arne Østvær
Download or read book Homotopy Theory of C*-Algebras written by Paul Arne Østvær. This book was released on 2010-09-08. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.
Author : Paul Selick
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 366/5 ( reviews)
Book Synopsis Introduction to Homotopy Theory by : Paul Selick
Download or read book Introduction to Homotopy Theory written by Paul Selick. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.
Author : J. P. May
Release : 1999-09
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)
Book Synopsis A Concise Course in Algebraic Topology by : J. P. May
Download or read book A Concise Course in Algebraic Topology written by J. P. May. This book was released on 1999-09. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
