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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 12th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare table, to be `!include`-ed into relevant entries. This is to show at a glance how various definitions used in the literature are all equivalent incarnations of rational equivariant K-theory <a href="https://ncatlab.org/nlab/revision/incarnations+of+rational+equivariant+topological+K-theory+--+table/1">v1</a>, <a href="https://ncatlab.org/nlab/show/incarnations+of+rational+equivariant+topological+K-theory+--+table">current</a>

   a bare table, to be !include-ed into relevant entries.

   This is to show at a glance how various definitions used in the literature are all equivalent incarnations of rational equivariant K-theory

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: [Mislin-Valette 03, Thm. 6.1](equivarant+Chern+character#MislinValette03) <a href="https://ncatlab.org/nlab/revision/diff/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">v4</a>, <a href="https://ncatlab.org/nlab/show/incarnations+of+rational+equivariant+topological+K-theory+--+table">current</a>

   added pointer to:

   Mislin-Valette 03, Thm. 6.1

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded/adjusted references a little more <a href="https://ncatlab.org/nlab/revision/diff/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">v4</a>, <a href="https://ncatlab.org/nlab/show/incarnations+of+rational+equivariant+topological+K-theory+--+table">current</a>

   expanded/adjusted references a little more

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMar 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexand I finally fixed the typo in the index (first line) <a href="https://ncatlab.org/nlab/revision/diff/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">v4</a>, <a href="https://ncatlab.org/nlab/show/incarnations+of+rational+equivariant+topological+K-theory+--+table">current</a>

   and I finally fixed the typo in the index (first line)

   diff, v4, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMar 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexWhy did I have "Connes-Baum" everywhere? It's "Baum-Connes". <a href="https://ncatlab.org/nlab/revision/diff/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/incarnations+of+rational+equivariant+topological+K-theory+--+table/4">v4</a>, <a href="https://ncatlab.org/nlab/show/incarnations+of+rational+equivariant+topological+K-theory+--+table">current</a>

   Why did I have “Connes-Baum” everywhere? It’s “Baum-Connes”.

   diff, v4, current