Nijenhuis operators on homogeneous spaces related to C∗-algebras.
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| Title: | Nijenhuis operators on homogeneous spaces related to C∗-algebras. |
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| Authors: | Goliński, Tomasz1 (AUTHOR) tomaszg@math.uwb.edu.pl, Larotonda, Gabriel2 (AUTHOR) glaroton@dm.uba.ar, Tumpach, Alice Barbora3 (AUTHOR) barbara.tumpach@math.cnrs.fr |
| Source: | International Journal of Geometric Methods in Modern Physics. May2026, Vol. 23 Issue 6, p1-19. 19p. |
| Subjects: | Homogeneous spaces, C*-algebras, Vector bundles, Lie groups, Toeplitz matrices |
| Abstract: | For a unital non-simple C ∗ -algebra , we consider its Banach–Lie group G of invertible elements. For a given closed ideal in , we consider the embedded Banach–Lie subgroup K of G of elements differing from the unit element by an element in . We study Banach vector bundle maps of the tangent space of the homogeneous space G / K , induced by an admissible bounded operator on . In particular, we discuss when this Banach vector bundle map is a Nijenhuis operator in G / K. The special case of almost complex structures in G / K is also addressed. Examples for particular classes of C ∗ -algebras are presented, including the Toeplitz algebra and crossed products by ℤ. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192256775 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Nijenhuis operators on homogeneous spaces related to C∗-algebras. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Goliński%2C+Tomasz%22">Goliński, Tomasz</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tomaszg@math.uwb.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Larotonda%2C+Gabriel%22">Larotonda, Gabriel</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> glaroton@dm.uba.ar</i><br /><searchLink fieldCode="AR" term="%22Tumpach%2C+Alice+Barbora%22">Tumpach, Alice Barbora</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> barbara.tumpach@math.cnrs.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. May2026, Vol. 23 Issue 6, p1-19. 19p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Homogeneous+spaces%22">Homogeneous spaces</searchLink><br /><searchLink fieldCode="DE" term="%22C*-algebras%22">C*-algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+bundles%22">Vector bundles</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+groups%22">Lie groups</searchLink><br /><searchLink fieldCode="DE" term="%22Toeplitz+matrices%22">Toeplitz matrices</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: For a unital non-simple C ∗ -algebra , we consider its Banach–Lie group G of invertible elements. For a given closed ideal in , we consider the embedded Banach–Lie subgroup K of G of elements differing from the unit element by an element in . We study Banach vector bundle maps of the tangent space of the homogeneous space G / K , induced by an admissible bounded operator on . In particular, we discuss when this Banach vector bundle map is a Nijenhuis operator in G / K. The special case of almost complex structures in G / K is also addressed. Examples for particular classes of C ∗ -algebras are presented, including the Toeplitz algebra and crossed products by ℤ. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0219887825400407 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 1 Subjects: – SubjectFull: Homogeneous spaces Type: general – SubjectFull: C*-algebras Type: general – SubjectFull: Vector bundles Type: general – SubjectFull: Lie groups Type: general – SubjectFull: Toeplitz matrices Type: general Titles: – TitleFull: Nijenhuis operators on homogeneous spaces related to C∗-algebras. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Goliński, Tomasz – PersonEntity: Name: NameFull: Larotonda, Gabriel – PersonEntity: Name: NameFull: Tumpach, Alice Barbora IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02198878 Numbering: – Type: volume Value: 23 – Type: issue Value: 6 Titles: – TitleFull: International Journal of Geometric Methods in Modern Physics Type: main |
| ResultId | 1 |
