Equivariant K-Theory and Freeness of Group Actions on C Algebras. N. C. Phillips

Equivariant K-Theory and Freeness of Group Actions on C Algebras



Download Equivariant K-Theory and Freeness of Group Actions on C Algebras



Equivariant K-Theory and Freeness of Group Actions on C Algebras N. C. Phillips. djvu ebook
Publisher: Springer
Language: English
Page: 385
ISBN: 0387182772, 9780387182773

Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the space. The successes of "noncommutative topology" suggest that one should try to generalize this result to actions on arbitrary C*-algebras. Lacking an appropriate definition of a free action on a C*-algebra, one is led instead to the study of actions satisfying conditions on equivariant K-theory - in the cases of spaces, simply freeness. The first third of this book is a detailed exposition of equivariant K-theory and KK-theory, assuming only a general knowledge of C*-algebras and some ordinary K-theory. It continues with the author's research on K-theoretic freeness of actions. It is shown that many properties of freeness generalize, while others do not, and that certain forms of K-theoretic freeness are related to other noncommutative measures of freeness, such as the Connes spectrum. The implications of K-theoretic freeness for actions on type I and AF algebras are also examined, and in these cases K-theoretic freeness is characterized analytically.
--This text refers to the

edition.



MORE EBOOKS:
Neural Nets pdf download
The 2000-2005 World Outlook for Program Administration and Net Cost of Private Health Insurance (Strategic Planning Series) ebook download
100 Questions & Answers About Restless Legs Syndrome download pdf
Download ebook: Equivariant K-Theory and Freeness of Group Actions on C Algebras







Tags: Download Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook pdf
Download Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook djvu
Download Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook chm
Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook
Equivariant K-Theory and Freeness of Group Actions on C Algebras download book
Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook pdf
Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook djvu
Equivariant K-Theory and Freeness of Group Actions on C Algebras ebook chm
N. C. Phillips ebooks