Spatial isomorphisms of algebras of truncated Toeplitz operators Stephan GarciaWilliam RossW. Wogen 47L0547L1547B32Toeplitz operatormodel spacetruncated Toeplitz operatorreproducing kernelcomplex symmetric operatorconjugation We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz operators. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.4549 10.1512/iumj.2010.59.4549 en Indiana Univ. Math. J. 59 (2010) 1971 - 2000 state-of-the-art mathematics http://iumj.org/access/