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Item Details
| Title:
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EQUIVARIANT K-THEORY AND FREENESS OF GROUP ACTIONS ON C*-ALGEBRAS
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| By: |
N.Christopher Phillips |
| Format: |
Paperback |
| List price:
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£35.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540182772 |
| ISBN 13: |
9783540182771 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
23 September, 1987 |
| Edition: |
1987 ed. |
| Series: |
Lecture Notes in Mathematics No. 1274 |
| Pages: |
374 |
| Description: |
Offers an exposition of equivariant K-theory and KK-theory, assuming only a general knowledge of C*-algebras and some ordinary K-theory. This book examines the implications of K-theoretic freeness for actions on type I and AF algebras. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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