Journal article
Geometry of infinitely presented small cancellation groups, Rapid Decay and quasi-homomorphisms
- Abstract:
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We study the geometry of infinitely presented groups satisfying the small cancelation condition C'(1/8), and define a standard decomposition (called the criss-cross decomposition) for the elements of such groups. We use it to prove the Rapid Decay property for groups with the stronger small cancelation property C'(1/10). As a consequence, the Metric Approximation Property holds for the reduced C*-algebra and for the Fourier algebra of such groups. Our method further implies that the kernel of...
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Bibliographic Details
- Publication date:
- 2012-12-20
- Source identifiers:
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369814
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- Copyright date:
- 2012
- Notes:
- 40 pages, 8 figures
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