Hilbert C*-modules
by Manuilov, V. M., (Vladimir Markovich)
Hilbert C^*-modules provide a natural generalization of Hilbert spaces arising when the field of scalars \mathbf{C} is replaced by an arbitrary C^*-algebra. The general theory of Hilbert C^*-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in K- and KK-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of H…
Read More ↓Title Statements
- Full title :Hilbert C*-modules / V.M. Manuilov, E.V. Troitsky ; translated by the authors.
Summary
Hilbert C^*-modules provide a natural generalization of Hilbert spaces arising when the field of scalars \mathbf{C} is replaced by an arbitrary C^*-algebra. The general theory of Hilbert C^*-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in K- and KK-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert C^*-modules is interesting on its own. The present book is an introduction to the theory of Hi.
Read More ↓Edition Statements
- Publication Date:©2005.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2005.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781470446505, 1470446502
- oclc:on1031955063
- LC Classification:QA326.M3413 2005
- Dewey Decimal:512/.556
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