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Geometry of infinitely presented small cancellation groups, Rapid Decay and quasi-homomorphisms

Abstract:

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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Publication date:
2012-12-20
URN:
uuid:2651cfba-193f-4e06-8856-1ce5a9f3ed6f
Source identifiers:
369814
Local pid:
pubs:369814
Keywords:

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