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Beskrivning
This book develops a C*-algebraic approach to the notion of principal symbol on Heisenberg groups and, using the fact that contact manifolds are locally modeled by Heisenberg groups, on compact contact manifolds.
Dmitriy Zanin is an author of 100+ papers in non-commutative analysis. This includes the monograph "Singular traces" (written in collaboration with Steven Lord, Edward McDonald and Fedor Sukochev). The key discovery of Dr Zanin is the C*-algebraic nature of the principal symbol.
Innehållsförteckning
Preface.- Foreword by Nigel Higson.- Introduction.- Principal Symbol on the Heisenberg Group.- Equivariance of the Principal Symbol Under Heisenberg Diffeomorphisms.- Principal Symbol on Contact Manifolds.- Bibliography.