On Cluster C ⁎ -Algebras
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce a C ⁎ -algebra A ( x , Q ) attached to the cluster x and a quiver Q .
If Q T is the quiver coming from triangulation T of the Riemann surface S with a finite number of cusps, we prove that the primitive spectrum of A ( x , Q T ) times R is homeomorphic to a generic subset of the Teichmüller space of surface S .
We conclude with an analog of the Tomita-Takesaki theory and the Connes invariant T ( M ) for the algebra A ( x , Q T ) .
American Psychological Association (APA)
Nikolaev, Igor V.. 2016. On Cluster C ⁎ -Algebras. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108679
Modern Language Association (MLA)
Nikolaev, Igor V.. On Cluster C ⁎ -Algebras. Journal of Function Spaces No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1108679
American Medical Association (AMA)
Nikolaev, Igor V.. On Cluster C ⁎ -Algebras. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108679
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108679