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Title: Fixed point properties of C*-algebras
Authors: Dhompongsa, S.
Fupinwong, W.
Lawton, W. 
Keywords: Compact ordinal
Fixed point property
Gelfand-Naimark theorem
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.
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
ISSN: 0022247X
DOI: 10.1016/j.jmaa.2010.08.032
Appears in Collections:Staff Publications

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