Name: equivariant k-theory and freeness of group actions on c*-algebras (en Inglés)
Price: 81.85 EUR
Availability: InStock
Author: phillips
ISBN: 9783540182771

portada equivariant k-theory and freeness of group actions on c*-algebras (en Inglés)

Formato

Libro Físico

Editorial

springer publishing map

Autor

phillips

Idioma

Inglés

N° páginas

371

ISBN

3540182772

ISBN13

9783540182771

Categorías

Algebra

equivariant k-theory and freeness of group actions on c*-algebras (en Inglés)

Phillips (Autor) · springer publishing map · Libro Físico

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Reseña del libro "equivariant k-theory and freeness of group actions on c*-algebras (en Inglés)"

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 authors 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.