C*-algebras associated with reversible extensions of logistic maps

Journal Article · Wed Oct 31 00:00:00 EDT 2012 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2012V203N10ABEH004271· OSTI ID:22094052

Kwasniewski, Bartosz K ^[1]

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1. Institute of Mathematics, University of Bialystok (Poland)

The construction of reversible extensions of dynamical systems presented in a previous paper by the author and A.V. Lebedev is enhanced, so that it applies to arbitrary mappings (not necessarily with open range). It is based on calculating the maximal ideal space of C*-algebras that extends endomorphisms to partial automorphisms via partial isometric representations, and involves a new set of 'parameters' (the role of parameters is played by chosen sets or ideals). As model examples, we give a thorough description of reversible extensions of logistic maps and a classification of systems associated with compression of unitaries generating homeomorphisms of the circle. Bibliography: 34 titles.

• OSTI ID: 22094052
• Journal Information: Sbornik. Mathematics, Vol. 203, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
CLASSIFICATION
COMPRESSION
MAPPING
MATHEMATICAL SPACE