{"product_id":"equivariant-k-theory-and-freeness-of-group-actions-on-c-algebras-von-n-christopher-phillips","title":"Equivariant K-Theory and Freeness of Group Actions on C*-Algebras","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540182771\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540182771","offer_id":39422807474269,"sku":"9783540182771","price":42.75,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/31a892d5-251a-48dc-8a08-86012763cebe.jpg?v=1772084952","url":"https:\/\/shop.autorenwelt.de\/products\/equivariant-k-theory-and-freeness-of-group-actions-on-c-algebras-von-n-christopher-phillips","provider":"Autorenwelt Shop","version":"1.0","type":"link"}