N-parameter Fibonacci AF-Algebras are Isomorphic to Their Transpose AF-Algebras

R. L Baker

doi:10.1007/s11785-018-0867-5

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N-parameter Fibonacci AF-Algebras are Isomorphic to Their Transpose AF-Algebras

Journal article

Peer reviewed

N-parameter Fibonacci AF-Algebras are Isomorphic to Their Transpose AF-Algebras

R. L Baker

Complex analysis and operator theory, Vol.13(5), pp.2325-2336

07/01/2019

DOI: 10.1007/s11785-018-0867-5

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Abstract

An n-parameter Fibonacci AF-algebra A is any stationary AF C *-algebra with incidence matrix K of the form: K =... m1 m2 center dot center dot center dot mn-1 mn 1 0 center dot center dot center dot 0 0 0 1 center dot center dot center dot 0 0... 0 0 center dot center dot center dot 1 0..., where n = 2 and themi are nonnegative integerswithmn = 0. We writeA = AK. The main result of the present paper is thatAK is isomorphic to its transpose AF-algebra, A(Kt).

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Details

Title: Subtitle: N-parameter Fibonacci AF-Algebras are Isomorphic to Their Transpose AF-Algebras
Creators: R. L Baker - University of Iowa
Resource Type: Journal article
Publication Details: Complex analysis and operator theory, Vol.13(5), pp.2325-2336
Publisher: SPRINGER BASEL AG
DOI: 10.1007/s11785-018-0867-5
ISSN: 1661-8254
eISSN: 1661-8262
Number of pages: 12
Language: English
Date published: 07/01/2019
Academic Unit: Mathematics
Record Identifier: 9984241037602771

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