Idempotent Matrices over Complex Group Algebras (Universitext) - Info and Reading Options

The Open Library:

The study of idempotent elements in group algebras (or, more generally, the study of classes in the K-theory of such algebras) originates from geometric and analytic considerations. For example, C.T.C. Wall [72] has shown that the problem of deciding whether a ?nitely dominated space with fundamental group? is homotopy equivalent to a ?nite CW-complex leads naturally to the study of a certain class in the reduced K-theoryK (Z?) of the group ringZ?. 0 As another example, consider a discrete groupG which acts freely, properly discontinuously, cocompactly and isometrically on a Riemannian manifold. Then, following A. Connes and H. Moscovici [16], the index of an invariant 0th-order elliptic pseudo-di?erential operator is de?ned as an element in the ? ? K -group of the reduced groupC -algebraCG. 0 r Theidempotentconjecture(alsoknownasthegeneralizedKadisonconjec- ? ? ture) asserts that the reduced groupC -algebraCG of a discrete torsion-free r groupG has no idempotents =0,1; this claim is known to be a consequence of a far-reaching conjecture of P. Baum and A. Connes [6]. Alternatively, one mayapproachtheidempotentconjectureasanassertionabouttheconnect- ness of a non-commutative space;ifG is a discrete torsion-free abelian group ? thenCG is the algebra of continuous complex-valued functions on the dual r

Search for “Idempotent Matrices over Complex Group Algebras (Universitext)” downloads:

Visit our Downloads Search page to see if downloads are available.

Borrow "Idempotent Matrices over Complex Group Algebras (Universitext)" Online:

Check on the availability of online borrowing. Please note that online borrowing has copyright-based limitations and that the quality of ebooks may vary.

• Is Online Borrowing Available: Yes
• Preview Status: full
• Check if available: The Open Library & The Internet Archive

Find “Idempotent Matrices over Complex Group Algebras (Universitext)” in Libraries Near You:

Read or borrow “Idempotent Matrices over Complex Group Algebras (Universitext)” from your local library.

• The WorldCat Libraries Catalog: Find a copy of “Idempotent Matrices over Complex Group Algebras (Universitext)” at a library near you.