Decomposition rank of approximately subhomogeneous C*-algebras
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DOI: 10.1515/forum-2020-0018
Abstract: Abstract It is shown that every Jiang–Su stable approximately subhomogeneous C * {{\mathrm{C}^{*}}} -algebra has finite decomposition rank. This settles a key direction of the Toms–Winter conjecture for simple approximately subhomogeneous C * {{\mathrm{C}^{*}}} -algebras.… read more here.
Keywords: subhomogeneous mathrm; approximately subhomogeneous; subhomogeneous algebras; decomposition rank ... See more keywords
Examples on the Non-Uniqueness of the Rank 1 Tensor Decomposition of Rank 4 Tensors
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DOI: 10.3390/sym14091889
Abstract: We discuss the non-uniqueness of the rank 1 tensor decomposition for rank 4 tensors of format m1×⋯×mk, k≥3. We discuss several classes of examples and provide a complete classification if m1=m2=4. read more here.
Keywords: non uniqueness; rank tensor; decomposition rank; tensor decomposition ... See more keywords