C*-Algebra Extensions and K-Homology

Ronald G. Douglas (Autor)

Buch | Hardcover

96 Seiten

1980
Princeton University Press (Verlag)
9780691082653 (ISBN)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

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.

Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-13	9780691082653 / 9780691082653
Zustand	Neuware