On Non-Commutative Analytic Spaces Over Non-Archimedean Fields

  • Y. Soibelman
Part of the Lecture Notes in Physics book series (LNP, volume 757)


We discuss examples of non-commutative spaces over non-archimedean fields. Those include non-commutative and quantum affinoid algebras, quantized K3 surfaces and quantized locally analytic p-adic groups. In the latter case we found a quantization of the Schneider–Teitelbaum algebra of locally analytic distributions by using the ideas of representation theory of quantized function algebras.


Analytic Space Coherent Sheave Fukaya Category Analytic Torus Quantum Torus 
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© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Department of MathematicsKansas State UniversityManhattanUSA

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