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DC Field | Value | Language |
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dc.contributor.author | Varghese, M. | - |
dc.contributor.editor | Seiki Nishikawa, | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Proceedings of the Fifth Pacific Rim Geometry Conference / pp. 107-124 | - |
dc.identifier.uri | http://hdl.handle.net/2440/28890 | - |
dc.description.abstract | In [V. Mathai, K-theory of twisted group C*-algebras and positive scalar curvature, Contemp. Math. 231 (1999) 203–225], we established a natural connection between the Baum-Connes conjecture and noncommutative Bloch theory, viz., the spectral theory of projectively periodic elliptic operators on covering spaces. We elaborate on this connection here and provide significant evidence for a fundamental conjecture in noncommutative Bloch theory on the non-existence of Cantor set type spectrum. This is accomplished by establishing an explicit lower bound for the Kadison constant of twisted group C*-algebras in a large number of cases, whenever the multiplier is rational. | - |
dc.description.statementofresponsibility | Varghese Mathai | - |
dc.language.iso | en | - |
dc.publisher | TOHOKU UNIVERSITY | - |
dc.title | On positivity of the Kadison constant and noncommutative Bloch theory | - |
dc.type | Conference paper | - |
dc.contributor.conference | Pacific Rim Geometry Conference (5th : 2000 : Sendai, Japan) | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Varghese, M. [0000-0002-1100-3595] | - |
Appears in Collections: | Aurora harvest 2 Pure Mathematics publications |
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