Hodge theory for elliptic complexes over unital C*-algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289133" target="_blank" >RIV/00216208:11320/14:10289133 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10455-013-9394-9" target="_blank" >http://dx.doi.org/10.1007/s10455-013-9394-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10455-013-9394-9" target="_blank" >10.1007/s10455-013-9394-9</a>

Result language

angličtina

Original language name

Hodge theory for elliptic complexes over unital C*-algebras

Original language description

For a unital -algebra , we prove that the cohomology groups of -elliptic complexes of pseudodifferential operators in finitely generated projective -Hilbert bundles over compact manifolds are finitely generated -modules and Banach spaces provided the images of certain extensions of the so-called associated Laplacians are closed. We also prove that under this condition, the cohomology groups are isomorphic to the kernels of the associated Laplacians. This establishes a Hodge theory for these structures.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Annals of Global Analysis and Geometry

ISSN

0232-704X

e-ISSN

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Volume of the periodical

45

Issue of the periodical within the volume

3

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

14

Pages from-to

197-210

UT code for WoS article

000332102600003

EID of the result in the Scopus database

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