{"product_id":"c-algebra-extensions-and-k-homology","title":"C*-Algebra Extensions and K-Homology","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 compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ? Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":54251487461720,"sku":"9780691082660","price":72.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780691082660.jpg?v=1771046145","url":"https:\/\/agendabookshop.com\/products\/c-algebra-extensions-and-k-homology","provider":"Agenda Bookshop","version":"1.0","type":"link"}