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https://doi.org/10.1016/j.jmaa.2010.08.032
Title: | Fixed point properties of C*-algebras | Authors: | Dhompongsa, S. Fupinwong, W. Lawton, W. |
Keywords: | Compact ordinal Fixed point property Gelfand-Naimark theorem Projection Universal C*-algebra Weak fixed point property |
Issue Date: | 1-Feb-2011 | Citation: | Dhompongsa, S., Fupinwong, W., Lawton, W. (2011-02-01). Fixed point properties of C*-algebras. Journal of Mathematical Analysis and Applications 374 (1) : 22-28. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmaa.2010.08.032 | Abstract: | This paper derives relations between the following properties of a C*-algebra: (i) it has the fpp, (ii) the spectrum of every self-adjoint element is finite, (iii) it is finite dimensional, (iv) it is generated by two projections p and q and the spectrum of p+q is homeomorphic to a compact ordinal α | Source Title: | Journal of Mathematical Analysis and Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/103276 | ISSN: | 0022247X | DOI: | 10.1016/j.jmaa.2010.08.032 |
Appears in Collections: | Staff Publications |
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