Inhalt

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  `39`42`"613A``45`47`"603AKK-Theory for Banach Algebras
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   Banach algebras and Banach modules
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   Banach pairs
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   Sums, tensor products and the pushout
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   The multiplier algebra
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   Graded Banach pairs
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   Group actions
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   Example: Trivial bundles over X
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   Equivariant `39`42`"613A``45`47`"603AKK-theory
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   A sufficient condition for homotopy
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   Morita theory and `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603Aban
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  `39`42`"613A``45`47`"603AKK-Theory for C0(X)-Banach Algebras
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   C0(X)-Banach spaces
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   C0(X)-Banach algebras, modules and pairs
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   The pullback
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   Gradings and group actions
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   `39`42`"613A``45`47`"603ARKK`39`42`"613A``45`47`"603AbanG(C0(X); A,B)
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   Homotopy and Morita equivalence
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   The pushforward
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   Special case: X compact
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   `39`42`"613A``45`47`"603AKK-Theory for Fields of Banach algebras and Groupoids
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   Upper semi-continuous fields of Banach spaces
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   Monotone completions
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   The pullback
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   Groupoids
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   `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603AbanG(A,B)
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   `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603Aban-cycles and strict morphisms of groupoids
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   The sufficient condition for homotopy
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   Morita theory
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  C0(X)-Banach Spaces and Fields over X
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   The functor M: from fields to C0(X)-Banach spaces
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   The functor F: from C0(X)-Banach spaces to fields
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   The compositions of F and M (and the Gelfand functor)
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   Locally C0(X)-convex C0(X)-Banach spaces
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   Group actions and gradings
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   Algebras, modules and pairs and the functors F, M and G
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   `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603Aban, `39`42`"613A``45`47`"603ARKK`39`42`"613A``45`47`"603Aban and the functors M, F and G
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   `39`42`"613A``45`47`"603AKB(E) as a G-Banach algebra
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   The Descent
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   Convolution and sections with compact support
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   Unconditional completions
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   The descent and open subgroupoids
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   The descent and local convexity
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   Generalised Morphisms of Locally Compact Groupoids
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   Generalised morphisms
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   The linking groupoid
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   The pullback of groupoids
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   Locally compact groupoids with Haar systems
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   The functor p!
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   The pullback along generalised morphisms
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   Examples
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  A Generalised Green-Julg Theorem for Proper Groupoids
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   The theorem and its generalisation
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   The homomorphism JAB
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   Monotone completions as analogues of `39`42`"613A``45`47`"603AL2(G,B)
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   Regular unconditional completions
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   The (inverse) homomorphism MAB
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   JABMAB = `39`42`"613A``45`47`"603AId on the level of `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603Aban
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   Embedding E into H(G, E) as a summand
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   MAB JAB = `39`42`"613A``45`47`"603AId on the level of `39`42`"613A``45`47`"603AKK`39`42`"613A``45`47`"603Aban
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   The Bost Map and Proper Banach Algebras
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   Topological `39`42`"613A``45`47`"603AK-theory and the general Bost conjecture
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   The Bost conjecture and proper groupoids
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   The pushforward construction
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   Proper G-Banach algebras
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  Locally C0(X)-Convex C0(X)-Banach Spaces
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   Restriction and fibres
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   Local C0(X)-convexity
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  Continuous Fields of Measures
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   Sections of compact support
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   Continuous fields of measures
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   Continuous fields of measures and fields of Banach spaces
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  Some Details Concerning Chapter 5
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   Some proofs of results of Section 5.1
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   The convolution with fields of compact operators
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   Some details concerning unconditional completions (Section 5.2)
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  Some Details Concerning Chapter 6
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   Some proofs of results of Section 6.1
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   Some proofs of results of Section 6.5
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  Some Remarks
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   A note concerning C0(X)-Banach algebras
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   A note concerning the local boundedness of fields of linear maps
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   A lemma concerning quotient maps between Banach spaces
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   Some facts concerning C0(X) and Cc(X)
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   Restriction of u.s.c. fields onto closed subspaces
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   The pushout of B-induced Banach modules
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   Cut-off pairs for actions of groupoids
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   Monotone completions and operators given by kernels