# On the index of nonlocal elliptic operators for compact Lie groups

Open Mathematics (2011)

- Volume: 9, Issue: 4, page 833-850
- ISSN: 2391-5455

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topAnton Savin. "On the index of nonlocal elliptic operators for compact Lie groups." Open Mathematics 9.4 (2011): 833-850. <http://eudml.org/doc/269233>.

@article{AntonSavin2011,

abstract = {We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.},

author = {Anton Savin},

journal = {Open Mathematics},

keywords = {Nonlocal operator; Basic cohomology; Crossed product; Transverse ellipticity; Chern character; Index formula; nonlocal operator; basic cohomology; crossed product; transverse ellipticity; index formula; Fredholm index},

language = {eng},

number = {4},

pages = {833-850},

title = {On the index of nonlocal elliptic operators for compact Lie groups},

url = {http://eudml.org/doc/269233},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Anton Savin

TI - On the index of nonlocal elliptic operators for compact Lie groups

JO - Open Mathematics

PY - 2011

VL - 9

IS - 4

SP - 833

EP - 850

AB - We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.

LA - eng

KW - Nonlocal operator; Basic cohomology; Crossed product; Transverse ellipticity; Chern character; Index formula; nonlocal operator; basic cohomology; crossed product; transverse ellipticity; index formula; Fredholm index

UR - http://eudml.org/doc/269233

ER -

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