C*-algebra extensions and K-homology

C*-algebra extensions and K-homology by Ronald G. Douglas Download PDF EPUB FB2

Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions.

He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). C*-Algebra Extensions and K-Homology.

(AM) Book Description: Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the.

Buy C*-Algebra Extensions and K-Homology. (AM), Volume 95 (Annals of Mathematics Studies) on FREE SHIPPING on qualified ordersAuthor: Ronald G. Douglas. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international C*-algebra extensions and K-homology book and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

C*-Algebra Extensions and K-Homology Ronald G. Douglas. Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras.

Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. You can write a book review and share your experiences. Other. Extensions of C*-algebras and K-homology. In book: K-Theory and Operator Algebras, pp we consider equivalence relations of C*-algebra extensions and describe the relationship between.

C*-Algebra Extensions and K-Homology. (AM), Volume 95 by Ronald G. Douglas,available at Book Depository with free delivery worldwide. Buy C*-Algebra Extensions and K-Homology. (AM), Volume 95 by Ronald G. Douglas from Waterstones today.

Click and Collect from your local Pages: How to Cite This Entry: C*-algebra. Encyclopedia of Mathematics. URL: ?title=C*-algebra&oldid= C*-Algebra Extensions and K-Homology. (AM), Volume 95 Ronald G. Douglas. Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras.

Here, Ronald Douglas uses methods from homological algebra to study this collection of. InGelfand and Naimark introduced the notion of a C*-algebra, namely a Banach algebra with an involution satisfying kak= kakand kaak= kak2. They showed that if such an algebra Ais commutative, then it is isomorphic to the C*-algebra C(X) of continuous complex-valued functions on a.

Yes, this is a very interesting book to read. plus it is the best selling C*-Algebra Extensions And K-Homology. (AM) (Annals Of Mathematics Studies) By Ronald G.

Douglas () PDF Download of the year. Be the first to download this C*-Algebra Extensions And K-Homology. References. Atiyah, Global theory of elliptic operators, Proc.

on Functional Analysis and Related Topics (Tokyo, ), Univ. of Tokyo Press. Ronald G. Douglas has written: 'C*-algebra extensions and K-homology' -- subject(s): Algebra, Homological, C*-algebras, Homological Algebra, K-theory 'Banach Algebra Techniques in.

Two extensions of a C*-algebra A by a C*-algebra B can be added, by the method of Brown, Douglas, and Fillmore, whenever the quotient multiplier algebra M(A)/A contains two isometries with.

C*-Algebra Extensions and K-Homology. (AM), Volume 95 (Annals of Mathematics Studies) Mar 2, by Ronald G. Douglas. K-homology. Next, BDF set out to find how behaves as a functor. They replaced by an arbitrary separable C*-algebra, and considered extensions of the form.

In modern notation, one defines, and. Then one has the following theorems. Theorem (Bott periodicity). Theorem: is a functor form separable nuclear C*-algebras into graded abelian groups.

C*-Algebra Extensions and K-Homology. Princeton University Press. Ronald G. Douglas. Year: Language: english A search query can be a title of the book, a name of the author, ISBN or anything else. Read more about ZAlerts. Author / ISBN / Topis / MD5 / Any search query.

Create. 14 Lecture 6 (C∗-algebra extensions and K-Homology) 82 15 Higher Algebraic K-Theory 87 16 Lecture 1 (Algebraic Preliminaries and the the Grothendieck that summer school and his personal notes form the backbone of this book.

Those notes were expanded and polished during the years since the author. Buy Analytic K-Homology Books online at best prices in India by John Roe,Nigel Higson from Buy Analytic K-Homology online of India’s Largest Online Book Store, Only Genuine Products.

Lowest price and Replacement Guarantee. Cash On Delivery Available!. Discover Book Depository's huge selection of Ronald G Douglas books online. Free delivery worldwide on over 20 million titles. C*-Algebra Extensions and K-Homology. (AM), Volume Ronald G. Douglas.

21 Jul Paperback. US$ Add to basket. C*-Algebra Extensions and K-Homology. Ronald G Douglas. 01 Dec Paperback.In mathematics, KK-theory is a common generalization both of K-homology and K-theory as an additive bivariant functor on separable C* notion was introduced by the Russian mathematician Gennadi Kasparov in It was influenced by Atiyah's concept of Fredholm modules for the Atiyah–Singer index theorem, and the classification of extensions of C*-algebras by Lawrence G.

.Rational equivariant K-homology of low dimensional groups J.-F. Lafont, I. J. Ortiz, and R. J. S anchez-Garc a Abstract. We consider groups G which have a cocompact, 3-manifold model for the classifying space EG. We provide an algorithm for computing the ratio-nalized equivariant K-homology of EG.

Under the additional hypothesis thatAuthor: Jean-François Lafont, Ivonne J. Ortiz, Rubén J. Sánchez-García.