The K-theory of heegaard-type quantum 3-spheres

Paul F. Baum, Piotr M. Hajac, Rainer Matthes, Wojciech Szymański

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Abstract

We use a Heegaard splitting of the topological 3-sphere as a guiding principle to construct a family of its noncommutative deformations. The main technical point is an identification of the universal C*-algebras defining our quantum 3-spheres with an appropriate fiber product of crossed-product C*-algebras. Then we employ this result to show that the K-groups of our family of noncommutative 3-spheres coincide with their classical counterparts.

Original languageEnglish (US)
Pages (from-to)159-186
Number of pages28
JournalK-Theory
Volume35
Issue number1-2
DOIs
StatePublished - Jun 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    Baum, P. F., Hajac, P. M., Matthes, R., & Szymański, W. (2005). The K-theory of heegaard-type quantum 3-spheres. K-Theory, 35(1-2), 159-186. https://doi.org/10.1007/s10977-005-1550-y