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K-theory for real C*-algebras and applications Book

K-theory for real C*-algebras and applications
K-theory for real C*-algebras and applications, This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone., K-theory for real C*-algebras and applications has a rating of 4 stars
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K-theory for real C*-algebras and applications, This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone., K-theory for real C*-algebras and applications
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  • K-theory for real C*-algebras and applications
  • Written by author H. Schroeder
  • Published by Harlow, Essex, England : Longman Scientific & Technical ; 1993., 1993/08/01
  • This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone.
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Book Categories

Authors

Introduction
1 K-theory for real C*-algebras
1.1 Real C*-algebras 1
1.2 Clifford algebras 7
1.3 Crossed products 12
1.4 Elementary K-theory for real C*-algebras 19
1.5 K-groups of special crossed products 32
1.6 Non-stable K-theory 45
2 Fredholm operators and KK-theory
2.1 Real Hilbert modules 57
2.2 Fredholm operators and classifying spaces 63
2.3 Kasparov's KK-theory 72
2.4 The intersection product 77
2.5 The periodicity theorem in KK-theory 86
2.6 KK-groups of special crossed products 93
3 Index theory for real operators
3.1 Real Spin[superscript c]-bundles and KR-orientation 108
3.2 Families of real pseudodifferential operators 116
3.3 The index theorem for real elliptic pseudodifferential operators 124
3.4 Foliations and C*-algebras 133
3.5 The real longitudinal index theorem 140
3.6 Applications 146
References 151
Index 160


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K-theory for real C*-algebras and applications, This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone., K-theory for real C*-algebras and applications

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K-theory for real C*-algebras and applications, This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone., K-theory for real C*-algebras and applications

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K-theory for real C*-algebras and applications, This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone., K-theory for real C*-algebras and applications

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