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Equivariant K: Theory and Freeness of Group Actions on C Algebras (Lecture Notes in...

Home > Mathematics Books > Group Theory > Item 375

	Equivariant K: Theory and Freeness of Group Actions on C Algebras (Lecture Notes in...
	by N. C. Phillips Sales Rank: 5856826	$54.67 At Amazon on 12-6-2008

Paperback: 371 pages Publisher: Springer November 1987 Language: English ISBN-10: 0387182772 ISBN-13: 978-0387182773 *Product Description* 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 Perfect Paperback edition.
Equivariant K: Theory and Freeness of Group Actions on C Algebras (Lecture Notes in... Available from Amazon Price: $54.67 Updated on 12-6-2008

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