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11. 2 of [9]. 8 of [10]. It is clear that Blackadar’s Second Fundamental Comparability Question is preserved by stable isomorphism. 9 of [18] shows that several other groupoids associated to T give C*algebras strongly Morita equivalent to C ∗ (GT ). These C*-algebras therefore also have stable rank one and real rank zero, and satisfy Blackadar’s Second Fundamental Comparability Question. 4. Consider a minimal aperiodic generalized dual (or grid) method tiling [47], satisfying the condition (D2) before Lemma 10 of [27].
The generalized energy estimates are used with Minkowski vector fields {∂α , αβ = xα ∂β − xβ ∂α , S = x α ∂α }. For the equations satisfying the standard null condition uniform in time bounds on the generalized energies, combined with global Sobolev (Klainerman-Sobolev) inequalities, are sufficient to infer small data global existence. In our case however the generalized energies slowly grow in time (at the rate of t ε ) and need to be complemented by independent, not following from the global Sobolev inequalities, decay estimates.
Shape equivalence, nonstable K-theory and AH algebras. Pacific J. Math. 192, 159–182 (2000) 36. : C*-Algebras and their Automorphism Groups. C. Phillips 37. : The C*-algebras associated with minimal homeomorphisms of the Cantor set. Pacific J. Math. 136, 329–353 (1989) 38. : On the topological stable rank of certain transformation group C*-algebras. Ergod. Th. Dynam. Sys. 10, 197–207 (1990) 39. : On the K-theory of C*-algebras of principal groupoids. Rocky Mtn. J. Math. 28, 1483–1518 (1998) 40.